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22132122411344 = 24113122727178487
BaseRepresentation
bin1010000100001000010010…
…10010110110000101010000
32220100210212122221021021012
411002010021102312011100
510400103041314130334
6115023205012550052
74442664424342331
oct502041122660520
986323778837235
1022132122411344
1170631a9133010
12259542b022328
13c4708635661a
145672b4018288
15285a921b99ce
hex1421094b6150

22132122411344 has 80 divisors (see below), whose sum is σ = 48290662342656. Its totient is φ = 9735054806400.

The previous prime is 22132122411341. The next prime is 22132122411367. The reversal of 22132122411344 is 44311422123122.

It is a self number, because there is not a number n which added to its sum of digits gives 22132122411344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132122411341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123909269 + ... + 124087755.

Almost surely, 222132122411344 is an apocalyptic number.

It is an amenable number.

22132122411344 is an abundant number, since it is smaller than the sum of its proper divisors (26158539931312).

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

22132122411344 is a wasteful number, since it uses less digits than its factorization.

22132122411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201264 (or 201258 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 22132122411344 its reverse (44311422123122), we get a palindrome (66443544534466).

The spelling of 22132122411344 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred twenty-two million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2728 5456 22727 45454 90908 178487 181816 249997 356974 363632 499994 704537 713948 999988 1409074 1427896 1963357 1999976 2818148 2855792 3926714 3999952 5533097 5636296 7749907 7853428 11066194 11272592 15499814 15706856 22132388 30999628 31413712 44264776 60864067 61999256 88529552 121728134 123998512 243456268 486912536 973825072 4056474049 8112948098 16225896196 32451792392 44621214539 64903584784 89242429078 125750695519 178484858156 251501391038 356969716312 503002782076 713939432624 1006005564152 1383257650709 2012011128304 2766515301418 5533030602836 11066061205672 22132122411344