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31033131012 = 22321366310109
BaseRepresentation
bin11100111001101110…
…000000000000000100
32222002202022101200200
4130321232000000010
51002023440143022
622131215410500
72146013155422
oct347156000004
988082271620
1031033131012
1112185436714
126020b23a30
132c07432420
14170573c112
15c196a1bac
hex739b80004

31033131012 has 36 divisors (see below), whose sum is σ = 84479080140. Its totient is φ = 9548655552.

The previous prime is 31033130983. The next prime is 31033131119. The reversal of 31033131012 is 21013133013.

It is a happy number.

31033131012 is a `hidden beast` number, since 3 + 10 + 331 + 310 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7988069376 + 23045061636 = 89376^2 + 151806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×310331310122 (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33154587 + ... + 33155522.

It is an arithmetic number, because the mean of its divisors is an integer number (2346641115).

Almost surely, 231033131012 is an apocalyptic number.

It is an amenable number.

31033131012 is an abundant number, since it is smaller than the sum of its proper divisors (53445949128).

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

31033131012 is a wasteful number, since it uses less digits than its factorization.

31033131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66310132 (or 66310127 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31033131012 its reverse (21013133013), we get a palindrome (52046264025).

The spelling of 31033131012 in words is "thirty-one billion, thirty-three million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 66310109 132620218 198930327 265240436 397860654 596790981 795721308 862031417 1193581962 1724062834 2387163924 2586094251 3448125668 5172188502 7758282753 10344377004 15516565506 31033131012