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131221240323432 = 233715311355337643
BaseRepresentation
bin11101110101100001010011…
…011010101001110101101000
3122012121121221212010121212220
4131311201103122221311220
5114144412100010322212
61143030112224234040
736432264443162640
oct3565412332516550
9565547855117786
10131221240323432
11388a1685260726
121287367ba6b920
13582b1574b9abc
1424591db5d7520
151028573d5338c
hex7758536a9d68

131221240323432 has 128 divisors (see below), whose sum is σ = 375200361999360. Its totient is φ = 37463534760960.

The previous prime is 131221240323431. The next prime is 131221240323451. The reversal of 131221240323432 is 234323042122131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131221240323393 and 131221240323402.

It is not an unprimeable number, because it can be changed into a prime (131221240323431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3485921203 + ... + 3485958845.

It is an arithmetic number, because the mean of its divisors is an integer number (2931252828120).

Almost surely, 2131221240323432 is an apocalyptic number.

131221240323432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131221240323432 is an abundant number, since it is smaller than the sum of its proper divisors (243979121675928).

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

131221240323432 is a wasteful number, since it uses less digits than its factorization.

131221240323432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52743 (or 52739 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 131221240323432 its reverse (234323042122131), we get a palindrome (365544282445563).

The spelling of 131221240323432 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, two hundred forty million, three hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1531 3062 4593 6124 9186 10717 12248 13553 18372 21434 27106 32151 36744 37643 40659 42868 54212 64302 75286 81318 85736 94871 108424 112929 128604 150572 162636 189742 225858 257208 263501 284613 301144 325272 379484 451716 527002 569226 758968 790503 903432 1054004 1138452 1581006 2108008 2276904 3162012 6324024 20749643 41499286 57631433 62248929 82998572 115262866 124497858 145247501 165997144 172894299 230525732 248995716 290495002 345788598 403420031 435742503 461051464 497991432 510175579 580990004 691577196 806840062 871485006 1020351158 1161980008 1210260093 1383154392 1530526737 1613680124 1742970012 2040702316 2420520186 3061053474 3227360248 3485940024 3571229053 4081404632 4841040372 6122106948 7142458106 9682080744 10713687159 12244213896 14284916212 21427374318 28569832424 42854748636 85709497272 781078811449 1562157622898 2343236434347 3124315245796 4686472868694 5467551680143 6248630491592 9372945737388 10935103360286 16402655040429 18745891474776 21870206720572 32805310080858 43740413441144 65610620161716 131221240323432