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22131031113340 = 22553592917121313
BaseRepresentation
bin1010000100000110010000…
…01111110111111001111100
32220100201001121110120211121
411002003020033313321330
510400043322431111330
6115022504430400324
74442625403431442
oct502031017677174
986321047416747
1022131031113340
117062799121736
1225951856600a4
13c46c41231766
1456720d102b92
15285a2b4a217a
hex1420c83f7e7c

22131031113340 has 96 divisors (see below), whose sum is σ = 48171537812160. Its totient is φ = 8535178469376.

The previous prime is 22131031113203. The next prime is 22131031113341. The reversal of 22131031113340 is 4331113013122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131031113341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 182368524 + ... + 182489836.

It is an arithmetic number, because the mean of its divisors is an integer number (501786852210).

Almost surely, 222131031113340 is an apocalyptic number.

22131031113340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131031113340 is an abundant number, since it is smaller than the sum of its proper divisors (26040506698820).

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

22131031113340 is a wasteful number, since it uses less digits than its factorization.

22131031113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124351 (or 124349 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 22131031113340 its reverse (4331113013122), we get a palindrome (26462144126462).

The spelling of 22131031113340 in words is "twenty-two trillion, one hundred thirty-one billion, thirty-one million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 59 106 118 212 236 265 295 530 590 1060 1180 2917 3127 5834 6254 11668 12508 14585 15635 29170 31270 58340 62540 121313 154601 172103 242626 309202 344206 485252 606565 618404 688412 773005 860515 1213130 1546010 1721030 2426260 3092020 3442060 6429589 7157467 9121459 12859178 14314934 18242918 25718356 28629868 32147945 35787335 36485836 45607295 64295890 71574670 91214590 128591780 143149340 182429180 353870021 379345751 707740042 758691502 1415480084 1517383004 1769350105 1896728755 3538700210 3793457510 7077400420 7586915020 18755111113 20878331239 37510222226 41756662478 75020444452 83513324956 93775555565 104391656195 187551111130 208783312390 375102222260 417566624780 1106551555667 2213103111334 4426206222668 5532757778335 11065515556670 22131031113340