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131514505520 = 2451986522701
BaseRepresentation
bin111101001111011100…
…0000001100100110000
3110120110110202002121212
41322132320001210300
54123320203134040
6140230020135252
712334023565226
oct1723670014460
9416413662555
10131514505520
1150858567592
12215a3b37528
13c52b8a5348
1465186a6b16
15364acc5d65
hex1e9ee01930

131514505520 has 40 divisors (see below), whose sum is σ = 321864451440. Its totient is φ = 49837075200.

The previous prime is 131514505487. The next prime is 131514505553. The reversal of 131514505520 is 25505415131.

It is an interprime number because it is at equal distance from previous prime (131514505487) and next prime (131514505553).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1315145055202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43259831 + ... + 43262870.

It is an arithmetic number, because the mean of its divisors is an integer number (8046611286).

Almost surely, 2131514505520 is an apocalyptic number.

131514505520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131514505520 is an abundant number, since it is smaller than the sum of its proper divisors (190349945920).

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

131514505520 is a wasteful number, since it uses less digits than its factorization.

131514505520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86522733 (or 86522727 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 131514505520 in words is "one hundred thirty-one billion, five hundred fourteen million, five hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 86522701 173045402 346090804 432613505 692181608 865227010 1384363216 1643931319 1730454020 3287862638 3460908040 6575725276 6921816080 8219656595 13151450552 16439313190 26302901104 32878626380 65757252760 131514505520