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131045400005324 = 22722328315227617
BaseRepresentation
bin11101110010111101100010…
…100001000100101011001100
3122011222211002020112221110112
4131302331202201010223030
5114134021434400132244
61142413231540055152
736413501114142200
oct3562754241045314
9564884066487415
10131045400005324
1138834050a58082
12128455873944b8
1358176b35a59ac
1424508ba03ab00
151023bd191339e
hex772f62844acc

131045400005324 has 108 divisors (see below), whose sum is σ = 282233971223064. Its totient is φ = 53073236418048.

The previous prime is 131045400005243. The next prime is 131045400005357. The reversal of 131045400005324 is 423500004540131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 991964 + ... + 16219580.

Almost surely, 2131045400005324 is an apocalyptic number.

131045400005324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131045400005324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141116985611532).

131045400005324 is an abundant number, since it is smaller than the sum of its proper divisors (151188571217740).

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

131045400005324 is a wasteful number, since it uses less digits than its factorization.

131045400005324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15227764 (or 15227732 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 131045400005324 its reverse (423500004540131), we get a palindrome (554545404545455).

The spelling of 131045400005324 in words is "one hundred thirty-one trillion, forty-five billion, four hundred million, five thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 83 92 98 161 166 196 322 332 529 581 644 1058 1127 1162 1909 2116 2254 2324 3703 3818 4067 4508 7406 7636 8134 13363 14812 16268 25921 26726 43907 51842 53452 87814 93541 103684 175628 187082 307349 374164 614698 1229396 2151443 4302886 8605772 15227617 30455234 60910468 106593319 213186638 350235191 426373276 700470382 746153233 1263892211 1400940764 1492306466 2451646337 2527784422 2984612932 4903292674 5055568844 8055409393 8847245477 9806585348 16110818786 17161524359 17694490954 29069520853 32221637572 34323048718 35388981908 56387865751 58139041706 61930718339 68646097436 112775731502 116278083412 123861436678 203486645971 225551463004 247722873356 394715060257 406973291942 668598979619 789430120514 813946583884 1337197959238 1424406521797 1578860241028 2674395918476 2848813043594 4680192857333 5697626087188 9360385714666 18720771429332 32761350001331 65522700002662 131045400005324