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31006114113 = 3135319377723
BaseRepresentation
bin11100111000000110…
…111100000101000001
32222000212110210110210
4130320012330011001
51002000031122423
622124412344333
72145234423102
oct347006740501
988025423423
1031006114113
11121711634a7
126013a750a9
132c019631b0
141701d083a9
15c17116b93
hex7381bc141

31006114113 has 32 divisors (see below), whose sum is σ = 45597250944. Its totient is φ = 18623434752.

The previous prime is 31006114109. The next prime is 31006114151. The reversal of 31006114113 is 31141160013.

It is not a de Polignac number, because 31006114113 - 22 = 31006114109 is a prime.

It is a super-2 number, since 2×310061141132 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31006114113.

It is not an unprimeable number, because it can be changed into a prime (31006114313) 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, 360070 + ... + 437792.

It is an arithmetic number, because the mean of its divisors is an integer number (1424914092).

Almost surely, 231006114113 is an apocalyptic number.

It is an amenable number.

31006114113 is a deficient number, since it is larger than the sum of its proper divisors (14591136831).

31006114113 is a wasteful number, since it uses less digits than its factorization.

31006114113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77985.

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

Adding to 31006114113 its reverse (31141160013), we get a palindrome (62147274126).

The spelling of 31006114113 in words is "thirty-one billion, six million, one hundred fourteen thousand, one hundred thirteen".

Divisors: 1 3 13 39 53 159 193 579 689 2067 2509 7527 10229 30687 77723 132977 233169 398931 1010399 3031197 4119319 12357957 15000539 45001617 53551147 160653441 195007007 585021021 795028567 2385085701 10335371371 31006114113