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131520252444 = 223722714834651
BaseRepresentation
bin111101001111100110…
…1111100101000011100
3110120110212120001220220
41322133031330220130
54123323141034234
6140230343241340
712334123462140
oct1723715745034
9416425501826
10131520252444
1150860832309
12215a5a49250
13c52cb380a9
146519361220
15364b55da49
hex1e9f37ca1c

131520252444 has 96 divisors (see below), whose sum is σ = 352579024896. Its totient is φ = 37378411200.

The previous prime is 131520252401. The next prime is 131520252467. The reversal of 131520252444 is 444252025131.

131520252444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1315202524443 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28275519 + ... + 28280169.

It is an arithmetic number, because the mean of its divisors is an integer number (3672698176).

Almost surely, 2131520252444 is an apocalyptic number.

131520252444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131520252444 is an abundant number, since it is smaller than the sum of its proper divisors (221058772452).

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

131520252444 is a wasteful number, since it uses less digits than its factorization.

131520252444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6375 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 131520252444 its reverse (444252025131), we get a palindrome (575772277575).

The spelling of 131520252444 in words is "one hundred thirty-one billion, five hundred twenty million, two hundred fifty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 227 454 681 908 1362 1483 1589 2724 2966 3178 4449 4651 4767 5932 6356 8898 9302 9534 10381 13953 17796 18604 19068 20762 27906 31143 32557 41524 55812 62286 65114 97671 124572 130228 195342 336641 390684 673282 1009923 1055777 1346564 2019846 2111554 2356487 3167331 4039692 4223108 4712974 6334662 6897433 7069461 7390439 9425948 12669324 13794866 14138922 14780878 20692299 22171317 27589732 28277844 29561756 41384598 44342634 48282031 82769196 88685268 96564062 144846093 193128124 289692186 579384372 1565717291 3131434582 4697151873 6262869164 9394303746 10960021037 18788607492 21920042074 32880063111 43840084148 65760126222 131520252444