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131918710 = 257111971127
BaseRepresentation
bin1111101110011…
…10101101110110
3100012020011110011
413313032231312
5232232344320
621031250434
73161201440
oct767165566
9305204404
10131918710
1168512530
1238219a1a
132143ac11
141373d490
15b8ac05a
hex7dceb76

131918710 has 128 divisors (see below), whose sum is σ = 318504960. Its totient is φ = 38102400.

The previous prime is 131918693. The next prime is 131918719. The reversal of 131918710 is 17819131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131918719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1038667 + ... + 1038793.

It is an arithmetic number, because the mean of its divisors is an integer number (2488320).

Almost surely, 2131918710 is an apocalyptic number.

131918710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131918710 is an abundant number, since it is smaller than the sum of its proper divisors (186586250).

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

131918710 is a wasteful number, since it uses less digits than its factorization.

131918710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242.

The product of its (nonzero) digits is 1512, while the sum is 31.

The square root of 131918710 is about 11485.5870550878. The cubic root of 131918710 is about 509.0597953793.

The spelling of 131918710 in words is "one hundred thirty-one million, nine hundred eighteen thousand, seven hundred ten".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 55 70 71 77 95 110 127 133 142 154 190 209 254 266 355 385 418 497 635 665 710 770 781 889 994 1045 1270 1330 1349 1397 1463 1562 1778 2090 2413 2485 2698 2794 2926 3905 4445 4826 4970 5467 6745 6985 7315 7810 8890 9017 9443 9779 10934 12065 13490 13970 14630 14839 16891 18034 18886 19558 24130 26543 27335 29678 33782 45085 47215 48895 53086 54670 63119 74195 84455 90170 94430 97790 99187 103873 126238 132715 148390 168910 171323 185801 198374 207746 265430 315595 342646 371602 495935 519365 631190 694309 856615 929005 991870 1038730 1199261 1388618 1713230 1858010 1884553 2398522 3471545 3769106 5996305 6943090 9422765 11992610 13191871 18845530 26383742 65959355 131918710