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131153500 = 2253475581
BaseRepresentation
bin1111101000100…
…11111001011100
3100010210021210001
413310103321130
5232033403000
621003024044
73151533502
oct764237134
9303707701
10131153500
116803a625
1237b0b024
132123082a
14135c0672
15b7aa46a
hex7d13e5c

131153500 has 48 divisors (see below), whose sum is σ = 292586112. Its totient is φ = 51336000.

The previous prime is 131153471. The next prime is 131153501. The reversal of 131153500 is 5351131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131153501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20710 + ... + 26290.

It is an arithmetic number, because the mean of its divisors is an integer number (6095544).

Almost surely, 2131153500 is an apocalyptic number.

131153500 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 131153500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146293056).

131153500 is an abundant number, since it is smaller than the sum of its proper divisors (161432612).

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

131153500 is a wasteful number, since it uses less digits than its factorization.

131153500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 131153500 is about 11452.2268576902. The cubic root of 131153500 is about 508.0735989837.

The spelling of 131153500 in words is "one hundred thirty-one million, one hundred fifty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 470 500 940 1175 2350 4700 5581 5875 11162 11750 22324 23500 27905 55810 111620 139525 262307 279050 524614 558100 697625 1049228 1311535 1395250 2623070 2790500 5246140 6557675 13115350 26230700 32788375 65576750 131153500