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137242731 = 3376132017
BaseRepresentation
bin10000010111000…
…10100001101011
3100120020122122010
420023202201223
5240113231411
621341331003
73254354403
oct1013424153
9316218563
10137242731
117051954a
1239b66a63
1322583322
1414327803
15c0ae7a6
hex82e286b

137242731 has 16 divisors (see below), whose sum is σ = 188335904. Its totient is φ = 88833024.

The previous prime is 137242727. The next prime is 137242747.

137242731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 137242731 - 22 = 137242727 is a prime.

It is a super-2 number, since 2×1372427312 = 37671134424676722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137242711) 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, 67035 + ... + 69051.

It is an arithmetic number, because the mean of its divisors is an integer number (11770994).

Almost surely, 2137242731 is an apocalyptic number.

137242731 is a deficient number, since it is larger than the sum of its proper divisors (51093173).

137242731 is a wasteful number, since it uses less digits than its factorization.

137242731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670.

The product of its digits is 7056, while the sum is 30.

The square root of 137242731 is about 11715.0642763922. The cubic root of 137242731 is about 515.8179492687.

The spelling of 137242731 in words is "one hundred thirty-seven million, two hundred forty-two thousand, seven hundred thirty-one".

Divisors: 1 3 37 111 613 1839 2017 6051 22681 68043 74629 223887 1236421 3709263 45747577 137242731