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31233101117 is a prime number
BaseRepresentation
bin11101000101101000…
…110100110100111101
32222121200120221002212
4131011220310310331
51002431133213432
622203121430205
72153661656561
oct350550646475
988550527085
1031233101117
11122782a9169
126077a9b365
132c399a8c2a
1417241136a1
15c2c0022b2
hex745a34d3d

31233101117 has 2 divisors, whose sum is σ = 31233101118. Its totient is φ = 31233101116.

The previous prime is 31233101083. The next prime is 31233101167. The reversal of 31233101117 is 71110133213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28500530041 + 2732571076 = 168821^2 + 52274^2 .

It is a cyclic number.

It is not a de Polignac number, because 31233101117 - 232 = 26938133821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31233101092 and 31233101101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31233101167) 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 as a sum of consecutive naturals, namely, 15616550558 + 15616550559.

It is an arithmetic number, because the mean of its divisors is an integer number (15616550559).

Almost surely, 231233101117 is an apocalyptic number.

It is an amenable number.

31233101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31233101117 is an equidigital number, since it uses as much as digits as its factorization.

31233101117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

The spelling of 31233101117 in words is "thirty-one billion, two hundred thirty-three million, one hundred one thousand, one hundred seventeen".