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131738933 = 1731457547
BaseRepresentation
bin1111101101000…
…10110100110101
3100011220000211202
413312202310311
5232211121213
621023342245
73156522344
oct766426465
9304800752
10131738933
11683aa457
1238151985
13213a7141
14136d3b5b
15b873b58
hex7da2d35

131738933 has 16 divisors (see below), whose sum is σ = 144566784. Its totient is φ = 119508480.

The previous prime is 131738923. The next prime is 131738947. The reversal of 131738933 is 339837131.

It is a cyclic number.

It is not a de Polignac number, because 131738933 - 26 = 131738869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131738923) 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, 240566 + ... + 241112.

It is an arithmetic number, because the mean of its divisors is an integer number (9035424).

Almost surely, 2131738933 is an apocalyptic number.

It is an amenable number.

131738933 is a deficient number, since it is larger than the sum of its proper divisors (12827851).

131738933 is a wasteful number, since it uses less digits than its factorization.

131738933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052.

The product of its digits is 40824, while the sum is 38.

The square root of 131738933 is about 11477.7581870329. The cubic root of 131738933 is about 508.8284436953.

The spelling of 131738933 in words is "one hundred thirty-one million, seven hundred thirty-eight thousand, nine hundred thirty-three".

Divisors: 1 17 31 457 527 547 7769 9299 14167 16957 240839 249979 288269 4249643 7749349 131738933