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131255300 = 225211177019
BaseRepresentation
bin1111101001011…
…00110000000100
3100010222110102102
413310230300010
5232100132200
621005131232
73152436341
oct764546004
9303873372
10131255300
11680aa060
1237b59b18
1321267c77
14136097c8
15b7ca6d5
hex7d2cc04

131255300 has 72 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 44915200.

The previous prime is 131255281. The next prime is 131255303. The reversal of 131255300 is 3552131.

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

It is not an unprimeable number, because it can be changed into a prime (131255303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15191 + ... + 22209.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2131255300 is an apocalyptic number.

131255300 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 131255300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

131255300 is an abundant number, since it is smaller than the sum of its proper divisors (197786140).

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

131255300 is a wasteful number, since it uses less digits than its factorization.

131255300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 131255300 is about 11456.6705460182. The cubic root of 131255300 is about 508.2050188242.

The spelling of 131255300 in words is "one hundred thirty-one million, two hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 7019 9350 14038 18700 28076 35095 70190 77209 119323 140380 154418 175475 238646 308836 350950 386045 477292 596615 701900 772090 1193230 1312553 1544180 1930225 2386460 2625106 2983075 3860450 5250212 5966150 6562765 7720900 11932300 13125530 26251060 32813825 65627650 131255300