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137343731 = 7172414789
BaseRepresentation
bin10000010111110…
…11001011110011
3100120102210011212
420023323023303
5240124444411
621343430335
73255255020
oct1013731363
9316383155
10137343731
1170588418
1239bb53ab
13225ba2a5
1414352547
15c0ce68b
hex82fb2f3

137343731 has 16 divisors (see below), whose sum is σ = 166921920. Its totient is φ = 110315520.

The previous prime is 137343721. The next prime is 137343793.

137343731 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-137343731 is a prime.

It is a super-2 number, since 2×1373437312 = 37726600890000722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137343721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26285 + ... + 31073.

It is an arithmetic number, because the mean of its divisors is an integer number (10432620).

Almost surely, 2137343731 is an apocalyptic number.

137343731 is a deficient number, since it is larger than the sum of its proper divisors (29578189).

137343731 is a wasteful number, since it uses less digits than its factorization.

137343731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5054.

The product of its digits is 15876, while the sum is 32.

The square root of 137343731 is about 11719.3741727108. The cubic root of 137343731 is about 515.9444522361.

The spelling of 137343731 in words is "one hundred thirty-seven million, three hundred forty-three thousand, seven hundred thirty-one".

Divisors: 1 7 17 119 241 1687 4097 4789 28679 33523 81413 569891 1154149 8079043 19620533 137343731