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131525130 = 23511419721
BaseRepresentation
bin1111101011011…
…10101000001010
3100011111011120010
413311232220022
5232132301010
621015012350
73154642122
oct765565012
9304434503
10131525130
1168273860
123806a0b6
1321330a29
1413679c82
15b830620
hex7d6ea0a

131525130 has 64 divisors (see below), whose sum is σ = 352791936. Its totient is φ = 31104000.

The previous prime is 131525071. The next prime is 131525143. The reversal of 131525130 is 31525131.

It is a junction number, because it is equal to n+sod(n) for n = 131525097 and 131525106.

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, 8670 + ... + 18390.

It is an arithmetic number, because the mean of its divisors is an integer number (5512374).

Almost surely, 2131525130 is an apocalyptic number.

131525130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131525130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176395968).

131525130 is an abundant number, since it is smaller than the sum of its proper divisors (221266806).

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

131525130 is a wasteful number, since it uses less digits than its factorization.

131525130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9783.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 131525130 is about 11468.4406089058. The cubic root of 131525130 is about 508.5530304197.

Subtracting from 131525130 its reverse (31525131), we obtain a palindrome (99999999).

The spelling of 131525130 in words is "one hundred thirty-one million, five hundred twenty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 4510 6765 9721 13530 19442 29163 48605 58326 97210 106931 145815 213862 291630 320793 398561 534655 641586 797122 1069310 1195683 1603965 1992805 2391366 3207930 3985610 4384171 5978415 8768342 11956830 13152513 21920855 26305026 43841710 65762565 131525130