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131011120404324 = 2232171675419236549
BaseRepresentation
bin11101110010011101100111…
…010010110001011101100100
3122011212112121020102210011200
4131302131213102301131210
5114132441233310414244
61142345402225202500
736411145460300406
oct3562354722613544
9564775536383150
10131011120404324
1138820560019516
121283a9bb190430
1358143ac6b4314
14244cd87498b76
151022d77234669
hex7727674b1764

131011120404324 has 144 divisors (see below), whose sum is σ = 352813681584000. Its totient is φ = 40847699063808.

The previous prime is 131011120404289. The next prime is 131011120404499. The reversal of 131011120404324 is 423404021110131.

It is a happy number.

131011120404324 is a `hidden beast` number, since 1 + 3 + 10 + 1 + 11 + 204 + 0 + 432 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553725202 + ... + 553961750.

It is an arithmetic number, because the mean of its divisors is an integer number (2450095011000).

Almost surely, 2131011120404324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131011120404324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176406840792000).

131011120404324 is an abundant number, since it is smaller than the sum of its proper divisors (221802561179676).

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

131011120404324 is a wasteful number, since it uses less digits than its factorization.

131011120404324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242162 (or 242157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131011120404324 its reverse (423404021110131), we get a palindrome (554415141514455).

The spelling of 131011120404324 in words is "one hundred thirty-one trillion, eleven billion, one hundred twenty million, four hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 167 204 306 334 501 612 668 1002 1503 2004 2839 3006 5419 5678 6012 8517 10838 11356 16257 17034 21676 25551 32514 34068 48771 51102 65028 92123 97542 102204 184246 195084 236549 276369 368492 473098 552738 709647 829107 904973 946196 1105476 1419294 1658214 1809946 2128941 2714919 2838588 3316428 3619892 4021333 4257882 5429838 8042666 8144757 8515764 10859676 12063999 15384541 16085332 16289514 24127998 30769082 32579028 36191997 39503683 46153623 48255996 61538164 72383994 79007366 92307246 118511049 138460869 144767988 158014732 184614492 237022098 276921738 355533147 474044196 553843476 671562611 711066294 1281859031 1343125222 1422132588 2014687833 2563718062 2686250444 3845577093 4029375666 5127436124 6044063499 7691154186 8058751332 11536731279 12088126998 15382308372 21791603527 23073462558 24176253996 43583207054 46146925116 65374810581 87166414108 130749621162 196124431743 214070458177 261499242324 392248863486 428140916354 642211374531 784497726972 856281832708 1284422749062 1926634123593 2568845498124 3639197789009 3853268247186 7278395578018 7706536494372 10917593367027 14556791156036 21835186734054 32752780101081 43670373468108 65505560202162 131011120404324