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31312140210 = 23251326762513
BaseRepresentation
bin11101001010010110…
…010101011110110010
32222211012022112100200
4131022112111132302
51003111401441320
622215023500030
72155641541341
oct351226253662
988735275320
1031312140210
111230898342a
12609a457616
132c50190b20
141730809b58
15c33e16290
hex74a5957b2

31312140210 has 48 divisors (see below), whose sum is σ = 87673995864. Its totient is φ = 7707603456.

The previous prime is 31312140199. The next prime is 31312140229. The reversal of 31312140210 is 1204121313.

31312140210 is a `hidden beast` number, since 3 + 1 + 312 + 140 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28374391809 + 2937748401 = 168447^2 + 54201^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13380087 + ... + 13382426.

Almost surely, 231312140210 is an apocalyptic number.

31312140210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31312140210 is an abundant number, since it is smaller than the sum of its proper divisors (56361855654).

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

31312140210 is a wasteful number, since it uses less digits than its factorization.

31312140210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26762539 (or 26762536 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31312140210 its reverse (1204121313), we get a palindrome (32516261523).

The spelling of 31312140210 in words is "thirty-one billion, three hundred twelve million, one hundred forty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 26762513 53525026 80287539 133812565 160575078 240862617 267625130 347912669 401437695 481725234 695825338 802875390 1043738007 1204313085 1739563345 2087476014 2408626170 3131214021 3479126690 5218690035 6262428042 10437380070 15656070105 31312140210