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21312112031130 = 2351783749967139
BaseRepresentation
bin1001101100010000111001…
…10111011111010110011010
32210110102021201201220001110
410312020130313133112122
510243134201134444010
6113154352112401150
74326515001201354
oct466103467372632
983412251656043
1021312112031130
1168774636aa508
12248251b2461b6
13bb79538096ab
145397242680d4
1526e59c2ab120
hex13621cddf59a

21312112031130 has 128 divisors (see below), whose sum is σ = 54818467200000. Its totient is φ = 5283693999104.

The previous prime is 21312112031071. The next prime is 21312112031131. The reversal of 21312112031130 is 3113021121312.

It is a super-2 number, since 2×213121120311302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21312112031097 and 21312112031106.

It is not an unprimeable number, because it can be changed into a prime (21312112031131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 317399101 + ... + 317466239.

It is an arithmetic number, because the mean of its divisors is an integer number (428269275000).

Almost surely, 221312112031130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312112031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27409233600000).

21312112031130 is an abundant number, since it is smaller than the sum of its proper divisors (33506355168870).

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

21312112031130 is a wasteful number, since it uses less digits than its factorization.

21312112031130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74748.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 21312112031130 its reverse (3113021121312), we get a palindrome (24425133152442).

The spelling of 21312112031130 in words is "twenty-one trillion, three hundred twelve billion, one hundred twelve million, thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 83 85 102 166 170 249 255 415 498 510 830 1245 1411 2490 2822 4233 7055 7499 8466 14110 14998 21165 22497 37495 42330 44994 67139 74990 112485 127483 134278 201417 224970 254966 335695 382449 402834 622417 637415 671390 764898 1007085 1141363 1244834 1274830 1867251 1912245 2014170 2282726 3112085 3424089 3734502 3824490 5572537 5706815 6224170 6848178 9336255 10581089 11145074 11413630 16717611 17120445 18672510 21162178 27862685 31743267 33435222 34240890 52905445 55725370 63486534 83588055 94733129 105810890 158716335 167176110 189466258 284199387 317432670 473665645 503475361 568398774 947331290 1006950722 1420996935 1510426083 2517376805 2841993870 3020852166 5034753610 7552130415 8559081137 15104260830 17118162274 25677243411 41788454963 42795405685 51354486822 83576909926 85590811370 125365364889 128386217055 208942274815 250730729778 256772434110 417884549630 626826824445 710403734371 1253653648890 1420807468742 2131211203113 3552018671855 4262422406226 7104037343710 10656056015565 21312112031130