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131521451253312 = 26313731507733091
BaseRepresentation
bin11101111001111000111001…
…011000011101111001000000
3122020200022212001222000000210
4131321320321120131321000
5114214321413010101222
61143420042014314120
736463053112034241
oct3571707130357100
9566608761860023
10131521451253312
11389a7a3052573a
12129018a3ab8940
13585055bc2b893
14246995a764cc8
151031294cc9d0c
hex779e3961de40

131521451253312 has 112 divisors (see below), whose sum is σ = 348270909158592. Its totient is φ = 43804323870720.

The previous prime is 131521451253307. The next prime is 131521451253317. The reversal of 131521451253312 is 213352154125131.

It is an interprime number because it is at equal distance from previous prime (131521451253307) and next prime (131521451253317).

It is not an unprimeable number, because it can be changed into a prime (131521451253317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3974521887 + ... + 3974554977.

It is an arithmetic number, because the mean of its divisors is an integer number (3109561688916).

Almost surely, 2131521451253312 is an apocalyptic number.

131521451253312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131521451253312 is an abundant number, since it is smaller than the sum of its proper divisors (216749457905280).

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

131521451253312 is a wasteful number, since it uses less digits than its factorization.

131521451253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49556 (or 49546 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The spelling of 131521451253312 in words is "one hundred thirty-one trillion, five hundred twenty-one billion, four hundred fifty-one million, two hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1373 2746 4119 5492 8238 10984 15077 16476 21968 30154 32952 33091 43936 45231 60308 65904 66182 87872 90462 99273 120616 131808 132364 180924 198546 241232 263616 264728 361848 397092 482464 529456 723696 794184 964928 1058912 1447392 1588368 2117824 2894784 3176736 6353472 20700721 41401442 45433943 62102163 82802884 90867886 124204326 136301829 165605768 181735772 248408652 272603658 331211536 363471544 496817304 498913007 545207316 662423072 726943088 993634608 997826014 1090414632 1324846144 1453886176 1496739021 1987269216 1995652028 2180829264 2907772352 2993478042 3974538432 3991304056 4361658528 5986956084 7982608112 8723317056 11973912168 15965216224 23947824336 31930432448 47895648672 95791297344 685007558611 1370015117222 2055022675833 2740030234444 4110045351666 5480060468888 8220090703332 10960120937776 16440181406664 21920241875552 32880362813328 43840483751104 65760725626656 131521451253312