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31001235012 = 223211194120313
BaseRepresentation
bin11100110111110100…
…010100111001000100
32222000112021220121100
4130313310110321010
51001442304010022
622124120020100
72145145102236
oct346764247104
988015256540
1031001235012
1112169430790
126012301630
132c00945457
1417013d8256
15c169a11ac
hex737d14e44

31001235012 has 72 divisors (see below), whose sum is σ = 89987657760. Its totient is φ = 8899873920.

The previous prime is 31001235011. The next prime is 31001235079. The reversal of 31001235012 is 21053210013.

31001235012 is a `hidden beast` number, since 310 + 0 + 1 + 2 + 350 + 1 + 2 = 666.

It is a super-2 number, since 2×310012350122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31001235011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2052633 + ... + 2067680.

It is an arithmetic number, because the mean of its divisors is an integer number (1249828580).

Almost surely, 231001235012 is an apocalyptic number.

It is an amenable number.

31001235012 is an abundant number, since it is smaller than the sum of its proper divisors (58986422748).

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

31001235012 is a wasteful number, since it uses less digits than its factorization.

31001235012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120353 (or 4120348 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 31001235012 its reverse (21053210013), we get a palindrome (52054445025).

The spelling of 31001235012 in words is "thirty-one billion, one million, two hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 4120313 8240626 12360939 16481252 24721878 37082817 45323443 49443756 74165634 78285947 90646886 135970329 148331268 156571894 181293772 234857841 271940658 313143788 407910987 469715682 543881316 704573523 815821974 861145417 939431364 1409147046 1631643948 1722290834 2583436251 2818294092 3444581668 5166872502 7750308753 10333745004 15500617506 31001235012