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31002003012 = 223172935091019
BaseRepresentation
bin11100110111110111…
…010000011001000100
32222000120201221002210
4130313313100121010
51001443003044022
622124144303420
72145154451301
oct346767203104
988016657083
1031002003012
11121699057a2
126012611b70
132c00b53ba6
1417015580a8
15c16aa3a0c
hex737dd0644

31002003012 has 96 divisors (see below), whose sum is σ = 77081155200. Its totient is φ = 9664387072.

The previous prime is 31002002981. The next prime is 31002003013. The reversal of 31002003012 is 21030020013.

It is a happy number.

It is a super-2 number, since 2×310020030122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31002003013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30423439 + ... + 30424457.

It is an arithmetic number, because the mean of its divisors is an integer number (802928700).

Almost surely, 231002003012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31002003012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38540577600).

31002003012 is an abundant number, since it is smaller than the sum of its proper divisors (46079152188).

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

31002003012 is a wasteful number, since it uses less digits than its factorization.

31002003012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31002003012 its reverse (21030020013), we get a palindrome (52032023025).

The spelling of 31002003012 in words is "thirty-one billion, two million, three thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 293 509 586 879 1018 1019 1172 1527 1758 2036 2038 3054 3057 3516 4076 4981 6108 6114 8653 9962 12228 14943 17306 17323 19924 25959 29886 34612 34646 51918 51969 59772 69292 103836 103938 149137 207876 298274 298567 447411 518671 596548 597134 894822 895701 1037342 1194268 1556013 1789644 1791402 2074684 2535329 3112026 3582804 5070658 5075639 6224052 7605987 8817407 10141316 10151278 15211974 15226917 17634814 20302556 26452221 30423948 30453834 35269628 52904442 60907668 105808884 151970603 303941206 455911809 607882412 911823618 1823647236 2583500251 5167000502 7750500753 10334001004 15501001506 31002003012