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131200140 = 22353596091
BaseRepresentation
bin1111101000111…
…11010010001100
3100010212122202110
413310133102030
5232041401030
621004024020
73152116461
oct764372214
9303778673
10131200140
1168071675
1237b32010
1321248b26
14135d3668
15b7b91b0
hex7d1f48c

131200140 has 48 divisors (see below), whose sum is σ = 368444160. Its totient is φ = 34883520.

The previous prime is 131200117. The next prime is 131200141. The reversal of 131200140 is 41002131.

It is a happy number.

131200140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (131200141) 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, 18495 + ... + 24585.

It is an arithmetic number, because the mean of its divisors is an integer number (7675920).

Almost surely, 2131200140 is an apocalyptic number.

131200140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131200140 is an abundant number, since it is smaller than the sum of its proper divisors (237244020).

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

131200140 is a wasteful number, since it uses less digits than its factorization.

131200140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462 (or 6460 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131200140 is about 11454.2629618845. The cubic root of 131200140 is about 508.1338178475.

Adding to 131200140 its reverse (41002131), we get a palindrome (172202271).

The spelling of 131200140 in words is "one hundred thirty-one million, two hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 359 718 1077 1436 1795 2154 3590 4308 5385 6091 7180 10770 12182 18273 21540 24364 30455 36546 60910 73092 91365 121820 182730 365460 2186669 4373338 6560007 8746676 10933345 13120014 21866690 26240028 32800035 43733380 65600070 131200140