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131113044 = 223217214237
BaseRepresentation
bin1111101000010…
…10000001010100
3100010201020021200
413310022001110
5232031104134
621002112500
73151304526
oct764120124
9303636250
10131113044
1168012197
1237aab730
13212182aa
14135ada16
15b79d499
hex7d0a054

131113044 has 36 divisors (see below), whose sum is σ = 350921844. Its totient is φ = 41133312.

The previous prime is 131113019. The next prime is 131113069. The reversal of 131113044 is 440311131.

It is an interprime number because it is at equal distance from previous prime (131113019) and next prime (131113069).

It can be written as a sum of positive squares in 2 ways, for example, as 83503044 + 47610000 = 9138^2 + 6900^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106507 + ... + 107730.

It is an arithmetic number, because the mean of its divisors is an integer number (9747829).

Almost surely, 2131113044 is an apocalyptic number.

It is an amenable number.

131113044 is an abundant number, since it is smaller than the sum of its proper divisors (219808800).

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

131113044 is a wasteful number, since it uses less digits than its factorization.

131113044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214264 (or 214259 counting only the distinct ones).

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

The square root of 131113044 is about 11450.4604274239. The cubic root of 131113044 is about 508.0213529785.

Adding to 131113044 its reverse (440311131), we get a palindrome (571424175).

The spelling of 131113044 in words is "one hundred thirty-one million, one hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 214237 428474 642711 856948 1285422 1928133 2570844 3642029 3856266 7284058 7712532 10926087 14568116 21852174 32778261 43704348 65556522 131113044