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131361510 = 23572327197
BaseRepresentation
bin1111101010001…
…10101011100110
3100011011212010010
413311012223212
5232112032020
621011311050
73153361110
oct765065346
9304155103
10131361510
1168171935
1237bab486
13212a4407
14136363b0
15b7ebde0
hex7d46ae6

131361510 has 64 divisors (see below), whose sum is σ = 375985152. Its totient is φ = 28718976.

The previous prime is 131361493. The next prime is 131361511. The reversal of 131361510 is 15163131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131361511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8769 + ... + 18428.

It is an arithmetic number, because the mean of its divisors is an integer number (5874768).

Almost surely, 2131361510 is an apocalyptic number.

131361510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131361510 is an abundant number, since it is smaller than the sum of its proper divisors (244623642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131361510 is a wasteful number, since it uses less digits than its factorization.

131361510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27237.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 131361510 is about 11461.3048995304. The cubic root of 131361510 is about 508.3420593921.

The spelling of 131361510 in words is "one hundred thirty-one million, three hundred sixty-one thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 966 1610 2415 4830 27197 54394 81591 135985 163182 190379 271970 380758 407955 571137 625531 815910 951895 1142274 1251062 1876593 1903790 2855685 3127655 3753186 4378717 5711370 6255310 8757434 9382965 13136151 18765930 21893585 26272302 43787170 65680755 131361510