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131522130 = 2345397409
BaseRepresentation
bin1111101011011…
…01111001010010
3100011111000110000
413311231321102
5232132202010
621014550430
73154630305
oct765557122
9304430400
10131522130
1168271583
1238068416
132132c55c
1413678b3c
15b82e7c0
hex7d6de52

131522130 has 80 divisors (see below), whose sum is σ = 355406040. Its totient is φ = 34898688.

The previous prime is 131522113. The next prime is 131522143. The reversal of 131522130 is 31225131.

131522130 is a `hidden beast` number, since 13 + 1 + 522 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129208689 + 2313441 = 11367^2 + 1521^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 321366 + ... + 321774.

Almost surely, 2131522130 is an apocalyptic number.

131522130 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 131522130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177703020).

131522130 is an abundant number, since it is smaller than the sum of its proper divisors (223883910).

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

131522130 is a wasteful number, since it uses less digits than its factorization.

131522130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131522130 is about 11468.3098144408. The cubic root of 131522130 is about 508.5491638058.

Adding to 131522130 its reverse (31225131), we get a palindrome (162747261).

The spelling of 131522130 in words is "one hundred thirty-one million, five hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 397 405 409 794 810 818 1191 1227 1985 2045 2382 2454 3573 3681 3970 4090 5955 6135 7146 7362 10719 11043 11910 12270 17865 18405 21438 22086 32157 33129 35730 36810 53595 55215 64314 66258 107190 110430 160785 162373 165645 321570 324746 331290 487119 811865 974238 1461357 1623730 2435595 2922714 4384071 4871190 7306785 8768142 13152213 14613570 21920355 26304426 43840710 65761065 131522130