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131088700 = 225217292659
BaseRepresentation
bin1111101000001…
…00000100111100
3100010122222220001
413310010010330
5232024314300
621001404044
73151143541
oct764040474
9303588801
10131088700
1167aa5976
1237a99624
132120a1a2
14135a4bc8
15b79616a
hex7d0413c

131088700 has 72 divisors (see below), whose sum is σ = 311698800. Its totient is φ = 47631360.

The previous prime is 131088689. The next prime is 131088703. The reversal of 131088700 is 7880131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131088703) 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, 47971 + ... + 50629.

It is an arithmetic number, because the mean of its divisors is an integer number (4329150).

Almost surely, 2131088700 is an apocalyptic number.

131088700 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 131088700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155849400).

131088700 is an abundant number, since it is smaller than the sum of its proper divisors (180610100).

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

131088700 is a wasteful number, since it uses less digits than its factorization.

131088700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 131088700 is about 11449.3973640537. The cubic root of 131088700 is about 507.9899092794.

The spelling of 131088700 in words is "one hundred thirty-one million, eighty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2659 2900 4930 5318 9860 10636 12325 13295 24650 26590 45203 49300 53180 66475 77111 90406 132950 154222 180812 226015 265900 308444 385555 452030 771110 904060 1130075 1310887 1542220 1927775 2260150 2621774 3855550 4520300 5243548 6554435 7711100 13108870 26217740 32772175 65544350 131088700