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131253320 = 23511298303
BaseRepresentation
bin1111101001011…
…00010001001000
3100010222100201002
413310230101020
5232100101240
621005114132
73152430512
oct764542110
9303870632
10131253320
11680a8620
1237b58948
13212670b3
1413608bb2
15b7c9d15
hex7d2c448

131253320 has 32 divisors (see below), whose sum is σ = 322168320. Its totient is φ = 47728320.

The previous prime is 131253313. The next prime is 131253337. The reversal of 131253320 is 23352131.

It is a super-2 number, since 2×1312533202 = 34454868022044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131253292 and 131253301.

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, 148712 + ... + 149591.

It is an arithmetic number, because the mean of its divisors is an integer number (10067760).

Almost surely, 2131253320 is an apocalyptic number.

131253320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131253320 is an abundant number, since it is smaller than the sum of its proper divisors (190915000).

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

131253320 is a wasteful number, since it uses less digits than its factorization.

131253320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298325 (or 298321 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 131253320 is about 11456.5841331524. The cubic root of 131253320 is about 508.2024633693.

The spelling of 131253320 in words is "one hundred thirty-one million, two hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 298303 596606 1193212 1491515 2386424 2983030 3281333 5966060 6562666 11932120 13125332 16406665 26250664 32813330 65626660 131253320