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22131320312420 = 225111627379316301
BaseRepresentation
bin1010000100000110110010…
…11111000101001001100100
32220100201210202122102101122
411002003121133011021210
510400044420444444140
6115022553241113112
74442635514534444
oct502033137051144
986321722572348
1022131320312420
117062927399240
122595246488798
13c46c8911a287
145672396a4124
15285a46a7aab5
hex1420d97c5264

22131320312420 has 96 divisors (see below), whose sum is σ = 50748493251456. Its totient is φ = 8040192768000.

The previous prime is 22131320312369. The next prime is 22131320312441. The reversal of 22131320312420 is 2421302313122.

It is a self number, because there is not a number n which added to its sum of digits gives 22131320312420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357658270 + ... + 1357674570.

It is an arithmetic number, because the mean of its divisors is an integer number (528630138036).

Almost surely, 222131320312420 is an apocalyptic number.

22131320312420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131320312420 is an abundant number, since it is smaller than the sum of its proper divisors (28617172939036).

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

22131320312420 is a wasteful number, since it uses less digits than its factorization.

22131320312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21741 (or 21739 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 22131320312420 its reverse (2421302313122), we get a palindrome (24552622625542).

The spelling of 22131320312420 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred twenty million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1627 3254 3793 6508 7586 8135 15172 16270 16301 17897 18965 32540 32602 35794 37930 41723 65204 71588 75860 81505 83446 89485 163010 166892 178970 179311 208615 326020 357940 358622 417230 717244 834460 896555 1793110 3586220 6171211 12342422 24684844 26521727 30856055 53043454 61712110 61829693 67883321 106086908 123424220 123659386 132608635 135766642 247318772 265217270 271533284 291738997 309148465 339416605 530434540 583477994 618296930 678833210 680126623 1166955988 1236593860 1357666420 1360253246 1458694985 2720506492 2917389970 3400633115 5834779940 6801266230 13602532460 100596910511 201193821022 402387642044 502984552555 1005969105110 1106566015621 2011938210220 2213132031242 4426264062484 5532830078105 11065660156210 22131320312420