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13131430314 = 233782172047
BaseRepresentation
bin11000011101011000…
…11011100110101010
31020220011002202221220
430032230123212222
5203343121232224
610011004042510
7643260213252
oct141654334652
936804082856
1013131430314
115629393a52
122665833436
13131369b512
148c7dbc962
1551cc64279
hex30eb1b9aa

13131430314 has 32 divisors (see below), whose sum is σ = 27005895936. Its totient is φ = 4253595840.

The previous prime is 13131430259. The next prime is 13131430327. The reversal of 13131430314 is 41303413131.

It is a super-3 number, since 3×131314303143 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146239 + ... + 218285.

It is an arithmetic number, because the mean of its divisors is an integer number (843934248).

Almost surely, 213131430314 is an apocalyptic number.

13131430314 is an abundant number, since it is smaller than the sum of its proper divisors (13874465622).

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

13131430314 is a wasteful number, since it uses less digits than its factorization.

13131430314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72910.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13131430314 its reverse (41303413131), we get a palindrome (54434843445).

The spelling of 13131430314 in words is "thirteen billion, one hundred thirty-one million, four hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 37 74 111 222 821 1642 2463 4926 30377 60754 72047 91131 144094 182262 216141 432282 2665739 5331478 7997217 15994434 59150587 118301174 177451761 354903522 2188571719 4377143438 6565715157 13131430314