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31427084117 = 11133128125229
BaseRepresentation
bin11101010001001100…
…110011111101010101
310000010012121021202102
4131101030303331111
51003330313142432
622234251251445
72161535543642
oct352114637525
9100105537672
1031427084117
11123678514a0
126110a49b85
132c6ac37580
141741baadc9
15c3e06d962
hex751333f55

31427084117 has 32 divisors (see below), whose sum is σ = 38249487360. Its totient is φ = 25429824000.

The previous prime is 31427084107. The next prime is 31427084131. The reversal of 31427084117 is 71148072413.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31427084117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31427084107) 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, 1233059 + ... + 1258287.

It is an arithmetic number, because the mean of its divisors is an integer number (1195296480).

Almost surely, 231427084117 is an apocalyptic number.

It is an amenable number.

31427084117 is a deficient number, since it is larger than the sum of its proper divisors (6822403243).

31427084117 is a wasteful number, since it uses less digits than its factorization.

31427084117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25565.

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 31427084117 in words is "thirty-one billion, four hundred twenty-seven million, eighty-four thousand, one hundred seventeen".

Divisors: 1 11 13 31 143 281 341 403 3091 3653 4433 8711 25229 40183 95821 113243 277519 327977 782099 1245673 3607747 7089349 8603089 10167287 77982839 92161537 111840157 219769819 1013776907 2417468009 2857007647 31427084117