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31034412137 is a prime number
BaseRepresentation
bin11100111001110010…
…111000110001101001
32222002211201111001202
4130321302320301221
51002024302142022
622131303053545
72146030102451
oct347162706151
988084644052
1031034412137
11121861311a3
1260214412b5
132c077905a1
141705992d61
15c19856592
hex739cb8c69

31034412137 has 2 divisors, whose sum is σ = 31034412138. Its totient is φ = 31034412136.

The previous prime is 31034412113. The next prime is 31034412161. The reversal of 31034412137 is 73121443013.

It is a balanced prime because it is at equal distance from previous prime (31034412113) and next prime (31034412161).

It can be written as a sum of positive squares in only one way, i.e., 19810281001 + 11224131136 = 140749^2 + 105944^2 .

It is a cyclic number.

It is not a de Polignac number, because 31034412137 - 234 = 13854542953 is a prime.

It is not a weakly prime, because it can be changed into another prime (31034412637) 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, 15517206068 + 15517206069.

It is an arithmetic number, because the mean of its divisors is an integer number (15517206069).

Almost surely, 231034412137 is an apocalyptic number.

It is an amenable number.

31034412137 is a deficient number, since it is larger than the sum of its proper divisors (1).

31034412137 is an equidigital number, since it uses as much as digits as its factorization.

31034412137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 31034412137 in words is "thirty-one billion, thirty-four million, four hundred twelve thousand, one hundred thirty-seven".