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131202320 = 2457123099
BaseRepresentation
bin1111101000111…
…11110100010000
3100010212202202012
413310133310100
5232041433240
621004042052
73152126024
oct764376420
9303782665
10131202320
1168073277
1237b33328
1321249b12
14135d4384
15b7b9b65
hex7d1fd10

131202320 has 40 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 51739520.

The previous prime is 131202301. The next prime is 131202347. The reversal of 131202320 is 23202131.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 131202295 and 131202304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5870 + ... + 17229.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2131202320 is an apocalyptic number.

131202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131202320 is an abundant number, since it is smaller than the sum of its proper divisors (178152880).

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

131202320 is a wasteful number, since it uses less digits than its factorization.

131202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23183 (or 23177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 131202320 is about 11454.3581225663. The cubic root of 131202320 is about 508.1366321880.

Adding to 131202320 its reverse (23202131), we get a palindrome (154404451).

The spelling of 131202320 in words is "one hundred thirty-one million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 23099 46198 92396 115495 184792 230990 369584 461980 923960 1640029 1847920 3280058 6560116 8200145 13120232 16400290 26240464 32800580 65601160 131202320