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37317120137 = 11101238114107
BaseRepresentation
bin100010110000010001…
…100001000010001001
310120022200202010012122
4202300101201002021
51102411140321022
625050535221025
72460516200423
oct426021410211
9116280663178
1037317120137
111490a5a5760
127295517775
1336992b149b
141b40153813
15e861d4742
hex8b0461089

37317120137 has 16 divisors (see below), whose sum is σ = 41132833344. Its totient is φ = 33572280000.

The previous prime is 37317120133. The next prime is 37317120149. The reversal of 37317120137 is 73102171373.

It is a cyclic number.

It is not a de Polignac number, because 37317120137 - 22 = 37317120133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37317120097 and 37317120106.

It is not an unprimeable number, because it can be changed into a prime (37317120133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2638238 + ... + 2652344.

It is an arithmetic number, because the mean of its divisors is an integer number (2570802084).

Almost surely, 237317120137 is an apocalyptic number.

It is an amenable number.

37317120137 is a deficient number, since it is larger than the sum of its proper divisors (3815713207).

37317120137 is a wasteful number, since it uses less digits than its factorization.

37317120137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16600.

The product of its (nonzero) digits is 18522, while the sum is 35.

The spelling of 37317120137 in words is "thirty-seven billion, three hundred seventeen million, one hundred twenty thousand, one hundred thirty-seven".

Divisors: 1 11 101 1111 2381 14107 26191 155177 240481 1424807 2645291 15672877 33588767 369476437 3392465467 37317120137