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33300022130130 = 235727923629719
BaseRepresentation
bin1111001001001010000111…
…11111010111010111010010
311100220110011210112101111210
413210211003333113113102
513331041421131131010
6154453452522120550
710004563406566200
oct744450377272722
9140813153471453
1033300022130130
11a6795073a9798
123899926050156
1315772425488b2
14831a30306070
153cb323aedb20
hex1e4943fd75d2

33300022130130 has 144 divisors (see below), whose sum is σ = 94159960332480. Its totient is φ = 7515084298176.

The previous prime is 33300022130083. The next prime is 33300022130147. The reversal of 33300022130130 is 3103122000333.

It is a super-2 number, since 2×333000221301302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 33300022130097 and 33300022130106.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7359411 + ... + 10989129.

It is an arithmetic number, because the mean of its divisors is an integer number (653888613420).

Almost surely, 233300022130130 is an apocalyptic number.

33300022130130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33300022130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47079980166240).

33300022130130 is an abundant number, since it is smaller than the sum of its proper divisors (60859938202350).

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

33300022130130 is a wasteful number, since it uses less digits than its factorization.

33300022130130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629901 (or 3629815 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 33300022130130 its reverse (3103122000333), we get a palindrome (36403144130463).

The spelling of 33300022130130 in words is "thirty-three trillion, three hundred billion, twenty-two million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 79 98 105 147 158 210 237 245 294 395 474 490 553 735 790 1106 1185 1470 1659 2370 2765 3318 3871 5530 6241 7742 8295 11613 12482 16590 18723 19355 23226 31205 37446 38710 43687 58065 62410 87374 93615 116130 131061 187230 218435 262122 305809 436870 611618 655305 917427 1310610 1529045 1834854 3058090 3629719 4587135 7259438 9174270 10889157 18148595 21778314 25408033 36297190 50816066 54445785 76224099 108891570 127040165 152448198 177856231 254080330 286747801 355712462 381120495 533568693 573495602 762240990 860243403 889281155 1067137386 1433739005 1720486806 1778562310 2007234607 2667843465 2867478010 4014469214 4301217015 5335686930 6021703821 8602434030 10036173035 12043407642 14050642249 20072346070 22653076279 28101284498 30108519105 42151926747 45306152558 60217038210 67959228837 70253211245 84303853494 113265381395 135918457674 140506422490 158571533953 210759633735 226530762790 317143067906 339796144185 421519267470 475714601859 679592288370 792857669765 951429203718 1110000737671 1585715339530 2220001475342 2378573009295 3330002213013 4757146018590 5550003688355 6660004426026 11100007376710 16650011065065 33300022130130