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131414120 = 2353285353
BaseRepresentation
bin1111101010100…
…11100001101000
3100011021112021122
413311103201220
5232120222440
621012354412
73154000355
oct765234150
9304245248
10131414120
11681a8412
1238015a08
13212c2346
141364b62c
15b80c7b5
hex7d53868

131414120 has 16 divisors (see below), whose sum is σ = 295681860. Its totient is φ = 52565632.

The previous prime is 131414117. The next prime is 131414147. The reversal of 131414120 is 21414131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 122899396 + 8514724 = 11086^2 + 2918^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1642637 + ... + 1642716.

Almost surely, 2131414120 is an apocalyptic number.

131414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414120 is an abundant number, since it is smaller than the sum of its proper divisors (164267740).

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

131414120 is a wasteful number, since it uses less digits than its factorization.

131414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285364 (or 3285360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 131414120 is about 11463.5997836631. The cubic root of 131414120 is about 508.4099136321.

Adding to 131414120 its reverse (21414131), we get a palindrome (152828251).

The spelling of 131414120 in words is "one hundred thirty-one million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3285353 6570706 13141412 16426765 26282824 32853530 65707060 131414120