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131583286082324 = 221937591395705827
BaseRepresentation
bin11101111010110010011111…
…000001100111101100010100
3122020220020110110002210000002
4131322302133001213230110
5114221330032214113244
61143504305505310432
736500402331306536
oct3572623701475424
9566806413083002
10131583286082324
1138a21181695a0a
1212911880335418
135856334851abb
14246c944b99856
151032bb3665a4e
hex77ac9f067b14

131583286082324 has 96 divisors (see below), whose sum is σ = 254982041664000. Its totient is φ = 59187582969984.

The previous prime is 131583286082243. The next prime is 131583286082327. The reversal of 131583286082324 is 423280682385131.

It is a happy number.

It is a super-2 number, since 2×1315832860823242 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131583286082324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131583286082327) 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, 20208299 + ... + 25914125.

It is an arithmetic number, because the mean of its divisors is an integer number (2656062934000).

Almost surely, 2131583286082324 is an apocalyptic number.

It is an amenable number.

131583286082324 is a deficient number, since it is larger than the sum of its proper divisors (123398755581676).

131583286082324 is a wasteful number, since it uses less digits than its factorization.

131583286082324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706085 (or 5706083 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 131583286082324 in words is "one hundred thirty-one trillion, five hundred eighty-three billion, two hundred eighty-six million, eighty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 19 37 38 59 74 76 118 139 148 236 278 556 703 1121 1406 2183 2242 2641 2812 4366 4484 5143 5282 8201 8732 10286 10564 16402 20572 32804 41477 82954 97717 155819 165908 195434 303437 311638 390868 606874 623276 1213748 5705827 5765303 11411654 11530606 22823308 23061212 108410713 211115599 216821426 336643793 422231198 433642852 673287586 793109953 844462396 1346575172 1586219906 3172439812 4011196381 6396232067 8022392762 12455820341 12792464134 15069089107 16044785524 24911640682 25584928268 29345068261 30138178214 46793487227 49823281364 58690136522 60276356428 93586974454 117380273044 187173948908 236660586479 473321172958 557556296959 889076257313 946642345916 1115112593918 1731359027399 1778152514626 2230225187836 3462718054798 3556305029252 6925436109596 32895821520581 65791643041162 131583286082324