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131738015 = 5177183263
BaseRepresentation
bin1111101101000…
…10100110011111
3100011212222120202
413312202212133
5232211104030
621023334115
73156516563
oct766424637
9304788522
10131738015
11683a97a2
123815133b
13213a68b6
14136d36a3
15b873745
hex7da299f

131738015 has 32 divisors (see below), whose sum is σ = 172440576. Its totient is φ = 96248320.

The previous prime is 131737937. The next prime is 131738017. The reversal of 131738015 is 510837131.

It is not a de Polignac number, because 131738015 - 212 = 131733919 is a prime.

It is a super-2 number, since 2×1317380152 = 34709809192280450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131738017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500774 + ... + 501036.

It is an arithmetic number, because the mean of its divisors is an integer number (5388768).

Almost surely, 2131738015 is an apocalyptic number.

131738015 is a deficient number, since it is larger than the sum of its proper divisors (40702561).

131738015 is a wasteful number, since it uses less digits than its factorization.

131738015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 131738015 is about 11477.7181965755. The cubic root of 131738015 is about 508.8272617982.

The spelling of 131738015 in words is "one hundred thirty-one million, seven hundred thirty-eight thousand, fifteen".

Divisors: 1 5 17 71 83 85 263 355 415 1207 1315 1411 4471 5893 6035 7055 18673 21829 22355 29465 93365 100181 109145 317441 371093 500905 1549859 1587205 1855465 7749295 26347603 131738015