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131104314 = 23211662143
BaseRepresentation
bin1111101000001…
…11111000111010
3100010200210022100
413310013320322
5232030314224
621002004230
73151240215
oct764077072
9303623270
10131104314
1168006680
1237aa6676
1321214323
14135aa77c
15b79aac9
hex7d07e3a

131104314 has 24 divisors (see below), whose sum is σ = 309883392. Its totient is φ = 39728520.

The previous prime is 131104307. The next prime is 131104339. The reversal of 131104314 is 413401131.

It is a super-2 number, since 2×1311043142 = 34376682298821192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330874 + ... + 331269.

It is an arithmetic number, because the mean of its divisors is an integer number (12911808).

Almost surely, 2131104314 is an apocalyptic number.

131104314 is an abundant number, since it is smaller than the sum of its proper divisors (178779078).

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

131104314 is a wasteful number, since it uses less digits than its factorization.

131104314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662162 (or 662159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131104314 is about 11450.0792136998. The cubic root of 131104314 is about 508.0100774036.

Adding to 131104314 its reverse (413401131), we get a palindrome (544505445).

It can be divided in two parts, 13110 and 4314, that added together give a square (17424 = 1322).

The spelling of 131104314 in words is "one hundred thirty-one million, one hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 662143 1324286 1986429 3972858 5959287 7283573 11918574 14567146 21850719 43701438 65552157 131104314