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31312014411 = 3312413494003
BaseRepresentation
bin11101001010010101…
…110110110001001011
32222211012002010210110
4131022111312301023
51003111333430121
622215021045403
72155640505516
oct351225666113
988735063713
1031312014411
11123088a7967
12609a3b6863
132c501487a2
1417307b5d7d
15c33dddd76
hex74a576c4b

31312014411 has 32 divisors (see below), whose sum is σ = 43409766400. Its totient is φ = 20054822400.

The previous prime is 31312014403. The next prime is 31312014439. The reversal of 31312014411 is 11441021313.

It is not a de Polignac number, because 31312014411 - 23 = 31312014403 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31312014011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7820136 + ... + 7824138.

It is an arithmetic number, because the mean of its divisors is an integer number (1356555200).

Almost surely, 231312014411 is an apocalyptic number.

31312014411 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31312014411 is a deficient number, since it is larger than the sum of its proper divisors (12097751989).

31312014411 is a wasteful number, since it uses less digits than its factorization.

31312014411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 31312014411 its reverse (11441021313), we get a palindrome (42753035724).

The spelling of 31312014411 in words is "thirty-one billion, three hundred twelve million, fourteen thousand, four hundred eleven".

Divisors: 1 3 31 93 241 349 723 1047 4003 7471 10819 12009 22413 32457 84109 124093 252327 372279 964723 1397047 2607379 2894169 4191141 7822137 29906413 43308457 89719239 129925371 336688327 1010064981 10437338137 31312014411