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131256200 = 2352837907
BaseRepresentation
bin1111101001011…
…00111110001000
3100010222111122202
413310230332020
5232100144300
621005135332
73152442065
oct764547610
9303874582
10131256200
11680aa7a9
1237b5a548
13212684ba
1413609c6c
15b7caad5
hex7d2cf88

131256200 has 48 divisors (see below), whose sum is σ = 308886480. Its totient is φ = 51863360.

The previous prime is 131256187. The next prime is 131256227. The reversal of 131256200 is 2652131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12647 + ... + 20553.

It is an arithmetic number, because the mean of its divisors is an integer number (6435135).

Almost surely, 2131256200 is an apocalyptic number.

131256200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154443240).

131256200 is an abundant number, since it is smaller than the sum of its proper divisors (177630280).

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

131256200 is a wasteful number, since it uses less digits than its factorization.

131256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 131256200 is about 11456.7098243780. The cubic root of 131256200 is about 508.2061803861.

The spelling of 131256200 in words is "one hundred thirty-one million, two hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1660 2075 3320 4150 7907 8300 15814 16600 31628 39535 63256 79070 158140 197675 316280 395350 656281 790700 1312562 1581400 2625124 3281405 5250248 6562810 13125620 16407025 26251240 32814050 65628100 131256200