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131104324292 = 22173773371089
BaseRepresentation
bin111101000011001101…
…1010011101011000100
3110112101212220201202112
41322012123103223010
54122000201334132
6140121204400152
712320613240464
oct1720633235304
9415355821675
10131104324292
1150667a78337
12214aa6a6058
13c49490a866
1464ba011ba4
153624ca0ab2
hex1e866d3ac4

131104324292 has 48 divisors (see below), whose sum is σ = 249838127280. Its totient is φ = 59945951232.

The previous prime is 131104324291. The next prime is 131104324303. The reversal of 131104324292 is 292423401131.

It can be written as a sum of positive squares in 8 ways, for example, as 12965010496 + 118139313796 = 113864^2 + 343714^2 .

It is not an unprimeable number, because it can be changed into a prime (131104324291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1808684 + ... + 1879772.

It is an arithmetic number, because the mean of its divisors is an integer number (5204960985).

Almost surely, 2131104324292 is an apocalyptic number.

It is an amenable number.

131104324292 is a deficient number, since it is larger than the sum of its proper divisors (118733802988).

131104324292 is a wasteful number, since it uses less digits than its factorization.

131104324292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71880 (or 71878 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 131104324292 in words is "one hundred thirty-one billion, one hundred four million, three hundred twenty-four thousand, two hundred ninety-two".

Divisors: 1 2 4 17 34 37 68 74 148 629 733 1258 1466 2516 2932 12461 24922 27121 49844 54242 71089 108484 142178 284356 461057 922114 1208513 1844228 2417026 2630293 4834052 5260586 10521172 44714981 52108237 89429962 104216474 178859924 208432948 885840029 1771680058 1928004769 3543360116 3856009538 7712019076 32776081073 65552162146 131104324292