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137041731 = 32314311423
BaseRepresentation
bin10000010101100…
…01011101000011
3100112212102220200
420022301131003
5240040313411
621333140243
73252556401
oct1012613503
9315772820
10137041731
11703a1532
1239a8a683
13225129a8
14142b4471
15c06ee56
hex82b1743

137041731 has 24 divisors (see below), whose sum is σ = 209104896. Its totient is φ = 86350320.

The previous prime is 137041727. The next prime is 137041739. The reversal of 137041731 is 137140731.

It is not a de Polignac number, because 137041731 - 22 = 137041727 is a prime.

It is a super-2 number, since 2×1370417312 = 37560872070952722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137041695 and 137041704.

It is not an unprimeable number, because it can be changed into a prime (137041739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6286 + ... + 17708.

It is an arithmetic number, because the mean of its divisors is an integer number (8712704).

Almost surely, 2137041731 is an apocalyptic number.

137041731 is a deficient number, since it is larger than the sum of its proper divisors (72063165).

137041731 is a wasteful number, since it uses less digits than its factorization.

137041731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11503 (or 11500 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 137041731 is about 11706.4824349588. The cubic root of 137041731 is about 515.5660110589.

The spelling of 137041731 in words is "one hundred thirty-seven million, forty-one thousand, seven hundred thirty-one".

Divisors: 1 3 9 31 43 93 129 279 387 1333 3999 11423 11997 34269 102807 354113 491189 1062339 1473567 3187017 4420701 15226859 45680577 137041731