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131112331344 = 2433588151607
BaseRepresentation
bin111101000011011100…
…1110110100001010000
3110112102102222112101000
41322012321312201100
54122004224100334
6140122052142000
712321041266611
oct1720671664120
9415372875330
10131112331344
1150671547135
12214b1307900
13c496482267
1464bb0d7c08
153625833299
hex1e86e76850

131112331344 has 80 divisors (see below), whose sum is σ = 376412237440. Its totient is φ = 43695832320.

The previous prime is 131112331327. The next prime is 131112331379. The reversal of 131112331344 is 443133211131.

131112331344 is a `hidden beast` number, since 1 + 311 + 1 + 2 + 3 + 3 + 1 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2514789 + ... + 2566395.

It is an arithmetic number, because the mean of its divisors is an integer number (4705152968).

Almost surely, 2131112331344 is an apocalyptic number.

It is an amenable number.

131112331344 is an abundant number, since it is smaller than the sum of its proper divisors (245299906096).

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

131112331344 is a wasteful number, since it uses less digits than its factorization.

131112331344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57505 (or 57493 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 131112331344 its reverse (443133211131), we get a palindrome (574245542475).

The spelling of 131112331344 in words is "one hundred thirty-one billion, one hundred twelve million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5881 11762 17643 23524 35286 47048 51607 52929 70572 94096 103214 105858 141144 154821 158787 206428 211716 282288 309642 317574 412856 423432 464463 619284 635148 825712 846864 928926 1238568 1270296 1393389 1857852 2477136 2540592 2786778 3715704 5573556 7431408 11147112 22294224 303500767 607001534 910502301 1214003068 1821004602 2428006136 2731506903 3642009204 4856012272 5463013806 7284018408 8194520709 10926027612 14568036816 16389041418 21852055224 32778082836 43704110448 65556165672 131112331344