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131221505314296 = 233223421188218621
BaseRepresentation
bin11101110101100001100011…
…001101100000110111111000
3122012121122122022202120000100
4131311201203031200313320
5114144413120330024141
61143030154412035400
736432304141442025
oct3565414315406770
9565548568676010
10131221505314296
11388a18008a3241
1212873734762b60
13582b19a37a927
14245922489654c
15102858c2490b6
hex775863360df8

131221505314296 has 96 divisors (see below), whose sum is σ = 371724249705120. Its totient is φ = 41739361171200.

The previous prime is 131221505314243. The next prime is 131221505314349. The reversal of 131221505314296 is 692413505122131.

131221505314296 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 21 + 5 + 0 + 531 + 4 + 2 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (131221505314243) and next prime (131221505314349).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93412135 + ... + 94806486.

It is an arithmetic number, because the mean of its divisors is an integer number (3872127601095).

Almost surely, 2131221505314296 is an apocalyptic number.

It is an amenable number.

131221505314296 is an abundant number, since it is smaller than the sum of its proper divisors (240502744390824).

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

131221505314296 is a wasteful number, since it uses less digits than its factorization.

131221505314296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188219077 (or 188219070 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 131221505314296 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, five hundred five million, three hundred fourteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 421 552 828 842 1263 1656 1684 2526 3368 3789 5052 7578 9683 10104 15156 19366 29049 30312 38732 58098 77464 87147 116196 174294 232392 348588 697176 188218621 376437242 564655863 752874484 1129311726 1505748968 1693967589 2258623452 3387935178 4329028283 4517246904 6775870356 8658056566 12987084849 13551740712 17316113132 25974169698 34632226264 38961254547 51948339396 77922509094 79240039441 103896678792 155845018188 158480078882 237720118323 311690036376 316960157764 475440236646 633920315528 713160354969 950880473292 1426320709938 1822520907143 1901760946584 2852641419876 3645041814286 5467562721429 5705282839752 7290083628572 10935125442858 14580167257144 16402688164287 21870250885716 32805376328574 43740501771432 65610752657148 131221505314296