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131125530 = 23523296553
BaseRepresentation
bin1111101000011…
…01000100011010
3100010201212102010
413310031010122
5232032004110
621002250350
73151356114
oct764150432
9303655363
10131125530
1168020608
1237ab69b6
1321220b93
14135b43b4
15b7a2020
hex7d0d11a

131125530 has 64 divisors (see below), whose sum is σ = 339759360. Its totient is φ = 32288256.

The previous prime is 131125529. The next prime is 131125537. The reversal of 131125530 is 35521131.

It is a junction number, because it is equal to n+sod(n) for n = 131125497 and 131125506.

It is not an unprimeable number, because it can be changed into a prime (131125537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16734 + ... + 23286.

It is an arithmetic number, because the mean of its divisors is an integer number (5308740).

Almost surely, 2131125530 is an apocalyptic number.

131125530 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 131125530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169879680).

131125530 is an abundant number, since it is smaller than the sum of its proper divisors (208633830).

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

131125530 is a wasteful number, since it uses less digits than its factorization.

131125530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615.

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

The square root of 131125530 is about 11451.0056326944. The cubic root of 131125530 is about 508.0374788931.

Adding to 131125530 its reverse (35521131), we get a palindrome (166646661).

The spelling of 131125530 in words is "one hundred thirty-one million, one hundred twenty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1334 2001 3335 4002 6553 6670 10005 13106 19659 20010 32765 39318 65530 98295 150719 190037 196590 301438 380074 452157 570111 753595 904314 950185 1140222 1507190 1900370 2260785 2850555 4370851 4521570 5701110 8741702 13112553 21854255 26225106 43708510 65562765 131125530