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131110323321312 = 2532752396050641
BaseRepresentation
bin11101110011111010000000…
…001111110111100111100000
3122012020000122212020010002100
4131303322000033313213200
5114141102420232240222
61142503130120050400
736421260015211626
oct3563720017674740
9565200585203070
10131110323321312
1138859637526325
1212856086003a00
13582085c0227ba
142453ab870d516
1510257314c14ac
hex773e803f79e0

131110323321312 has 72 divisors (see below), whose sum is σ = 372849999041520. Its totient is φ = 43702853022720.

The previous prime is 131110323321293. The next prime is 131110323321337. The reversal of 131110323321312 is 213123323011131.

131110323321312 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 0 + 3 + 23 + 321 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 18643512 + ... + 24694152.

It is an arithmetic number, because the mean of its divisors is an integer number (5178472208910).

Almost surely, 2131110323321312 is an apocalyptic number.

131110323321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131110323321312 is an abundant number, since it is smaller than the sum of its proper divisors (241739675720208).

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

131110323321312 is a wasteful number, since it uses less digits than its factorization.

131110323321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125896 (or 6125885 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131110323321312 its reverse (213123323011131), we get a palindrome (344233646332443).

The spelling of 131110323321312 in words is "one hundred thirty-one trillion, one hundred ten billion, three hundred twenty-three million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 75239 150478 225717 300956 451434 601912 677151 902868 1203824 1354302 1805736 2407648 2708604 3611472 5417208 6050641 7222944 10834416 12101282 18151923 21668832 24202564 36303846 48405128 54455769 72607692 96810256 108911538 145215384 193620512 217823076 290430768 435646152 580861536 871292304 1742584608 455244178199 910488356398 1365732534597 1820976712796 2731465069194 3641953425592 4097197603791 5462930138388 7283906851184 8194395207582 10925860276776 14567813702368 16388790415164 21851720553552 32777580830328 43703441107104 65555161660656 131110323321312