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130333302021132 = 22357190110076483
BaseRepresentation
bin11101101000100110010110…
…001010110101110000001100
3122002110202000220120021100000
4131220212112022311300030
5114040340100304134012
61141110143053004300
736311161503143550
oct3550462612656014
9562422026507300
10130333302021132
113858a052232941
121274b573183690
1357954ba8b8132
1424282460cd860
1510104056d2ddc
hex7689962b5c0c

130333302021132 has 144 divisors (see below), whose sum is σ = 390668992826112. Its totient is φ = 37218493915200.

The previous prime is 130333302021103. The next prime is 130333302021133. The reversal of 130333302021132 is 231120203333031.

130333302021132 is a `hidden beast` number, since 1 + 3 + 0 + 333 + 302 + 0 + 21 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×1303333020211322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130333302021096 and 130333302021105.

It is not an unprimeable number, because it can be changed into a prime (130333302021133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7896163 + ... + 17972645.

It is an arithmetic number, because the mean of its divisors is an integer number (2712979116848).

Almost surely, 2130333302021132 is an apocalyptic number.

130333302021132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130333302021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195334496413056).

130333302021132 is an abundant number, since it is smaller than the sum of its proper divisors (260335690804980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130333302021132 is a wasteful number, since it uses less digits than its factorization.

130333302021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10078410 (or 10078396 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 130333302021132 its reverse (231120203333031), we get a palindrome (361453505354163).

The spelling of 130333302021132 in words is "one hundred thirty trillion, three hundred thirty-three billion, three hundred two million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 1901 2268 3402 3802 5703 6804 7604 11406 13307 17109 22812 26614 34218 39921 51327 53228 68436 79842 102654 119763 153981 159684 205308 239526 307962 359289 461943 479052 615924 718578 923886 1077867 1437156 1847772 2155734 3233601 4311468 6467202 10076483 12934404 20152966 30229449 40305932 60458898 70535381 90688347 120917796 141070762 181376694 211606143 272065041 282141524 362753388 423212286 544130082 634818429 816195123 846424572 1088260164 1269636858 1632390246 1904455287 2448585369 2539273716 3264780492 3808910574 4897170738 5713365861 7617821148 9794341476 11426731722 17140097583 19155394183 22853463444 34280195166 38310788366 57466182549 68560390332 76621576732 114932365098 134087759281 172398547647 229864730196 268175518562 344797095294 402263277843 517195642941 536351037124 689594190588 804526555686 1034391285882 1206789833529 1551586928823 1609053111372 2068782571764 2413579667058 3103173857646 3620369500587 4654760786469 4827159334116 6206347715292 7240739001174 9309521572938 10861108501761 14481478002348 18619043145876 21722217003522 32583325505283 43444434007044 65166651010566 130333302021132