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131310200 = 23527213399
BaseRepresentation
bin1111101001110…
…10001001111000
3100011002020201202
413310322021320
5232103411300
621010233332
73153055400
oct764721170
9304066652
10131310200
116813732a
1237b85848
1321286c58
1413621800
15b7dbad5
hex7d3a278

131310200 has 72 divisors (see below), whose sum is σ = 355167000. Its totient is φ = 45017280.

The previous prime is 131310199. The next prime is 131310209. The reversal of 131310200 is 2013131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131310209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3101 + ... + 16499.

It is an arithmetic number, because the mean of its divisors is an integer number (4932875).

Almost surely, 2131310200 is an apocalyptic number.

131310200 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 131310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177583500).

131310200 is an abundant number, since it is smaller than the sum of its proper divisors (223856800).

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

131310200 is a wasteful number, since it uses less digits than its factorization.

131310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13429 (or 13413 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 131310200 is about 11459.0662795884. The cubic root of 131310200 is about 508.2758643861.

Adding to 131310200 its reverse (2013131), we get a palindrome (133323331).

The spelling of 131310200 in words is "one hundred thirty-one million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 13399 26798 53596 66995 93793 107192 133990 187586 267980 334975 375172 468965 535960 656551 669950 750344 937930 1313102 1339900 1875860 2344825 2626204 2679800 3282755 3751720 4689650 5252408 6565510 9379300 13131020 16413775 18758600 26262040 32827550 65655100 131310200