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131345500400252 = 223753109394738921
BaseRepresentation
bin11101110111010101000001…
…111001001110101001111100
3122020001111200202101120011022
4131313111001321032221330
5114203431041100302002
61143203142341043312
736444253641333245
oct3567250171165174
9566044622346138
10131345500400252
113893a34a895596
121289377a3b6538
135839a9b155a88
142461228633ccc
15102b8e7d03ba2
hex777541e4ea7c

131345500400252 has 96 divisors (see below), whose sum is σ = 242795355042240. Its totient is φ = 62099700848640.

The previous prime is 131345500400227. The next prime is 131345500400269. The reversal of 131345500400252 is 252004005543131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3374649752 + ... + 3374688672.

It is an arithmetic number, because the mean of its divisors is an integer number (2529118281690).

Almost surely, 2131345500400252 is an apocalyptic number.

It is an amenable number.

131345500400252 is a deficient number, since it is larger than the sum of its proper divisors (111449854641988).

131345500400252 is a wasteful number, since it uses less digits than its factorization.

131345500400252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43071 (or 43069 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 131345500400252 its reverse (252004005543131), we get a palindrome (383349505943383).

The spelling of 131345500400252 in words is "one hundred thirty-one trillion, three hundred forty-five billion, five hundred million, four hundred thousand, two hundred fifty-two".

Divisors: 1 2 4 37 53 74 106 109 148 212 218 436 1961 3922 3947 4033 5777 7844 7894 8066 11554 15788 16132 23108 38921 77842 146039 155684 209191 213749 292078 418382 427498 430223 584156 836764 854996 860446 1440077 1720892 2062813 2880154 4125626 4242389 5760308 7740067 8251252 8484778 15480134 15918251 16969556 22801819 30960268 31836502 45603638 63673004 76324081 91207276 152648162 153621187 156968393 224846617 305296324 307242374 313936786 449693234 614484748 627873572 843667303 899386468 1687334606 3374669212 5683983919 8141922911 8319324829 11367967838 16283845822 16638649658 16744709383 22735935676 32567691644 33277299316 33489418766 66978837532 301251147707 602502295414 619554247171 887469597299 1205004590828 1239108494342 1774939194598 2478216988684 3549878389196 32836375100063 65672750200126 131345500400252