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131120200 = 2352655601
BaseRepresentation
bin1111101000010…
…11110001001000
3100010201121002201
413310023301020
5232031321300
621002205544
73151334431
oct764136110
9303647081
10131120200
1168017602
1237ab38b4
132121b623
14135b2488
15b7a066a
hex7d0bc48

131120200 has 24 divisors (see below), whose sum is σ = 304854930. Its totient is φ = 52448000.

The previous prime is 131120189. The next prime is 131120203. The reversal of 131120200 is 2021131.

It can be written as a sum of positive squares in 3 ways, for example, as 67535524 + 63584676 = 8218^2 + 7974^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (131120203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 327601 + ... + 328000.

Almost surely, 2131120200 is an apocalyptic number.

131120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131120200 is an abundant number, since it is smaller than the sum of its proper divisors (173734730).

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

131120200 is a wasteful number, since it uses less digits than its factorization.

131120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655617 (or 655608 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131120200 is about 11450.7728996780. The cubic root of 131120200 is about 508.0305952185.

Adding to 131120200 its reverse (2021131), we get a palindrome (133141331).

The spelling of 131120200 in words is "one hundred thirty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 655601 1311202 2622404 3278005 5244808 6556010 13112020 16390025 26224040 32780050 65560100 131120200