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34031312137 = 475379172933
BaseRepresentation
bin11111101100011011…
…001001110100001001
310020211200220210000001
4133230123021310021
51024144003442022
623344521043001
72313220244314
oct375433116411
9106750823001
1034031312137
1113483874559
126719026461
13329462aab4
14190b9cd97b
15d429d6b27
hex7ec6c9d09

34031312137 has 16 divisors (see below), whose sum is σ = 35859594240. Its totient is φ = 32264960832.

The previous prime is 34031312131. The next prime is 34031312209. The reversal of 34031312137 is 73121313043.

It is a cyclic number.

It is not a de Polignac number, because 34031312137 - 27 = 34031312009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34031312131) 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 15 ways as a sum of consecutive naturals, for example, 110323 + ... + 283255.

It is an arithmetic number, because the mean of its divisors is an integer number (2241224640).

Almost surely, 234031312137 is an apocalyptic number.

It is an amenable number.

34031312137 is a deficient number, since it is larger than the sum of its proper divisors (1828282103).

34031312137 is a wasteful number, since it uses less digits than its factorization.

34031312137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173112.

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 34031312137 in words is "thirty-four billion, thirty-one million, three hundred twelve thousand, one hundred thirty-seven".

Divisors: 1 47 53 79 2491 3713 4187 172933 196789 8127851 9165449 13661707 430776103 642100229 724070471 34031312137