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22132013321 = 1125315972161
BaseRepresentation
bin10100100111001010…
…111011100100001001
32010010102021202201002
4110213022323210021
5330311243411241
614100045504345
71412311003115
oct244712734411
963112252632
1022132013321
119427a43200
124357b720b5
1321192c3c92
1410dd506745
1589800889b
hex5272bb909

22132013321 has 24 divisors (see below), whose sum is σ = 24812919432. Its totient is φ = 19718899200.

The previous prime is 22132013311. The next prime is 22132013341. The reversal of 22132013321 is 12331023122.

It can be written as a sum of positive squares in 4 ways, for example, as 3527053321 + 18604960000 = 59389^2 + 136400^2 .

It is not a de Polignac number, because 22132013321 - 210 = 22132012297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22132013293 and 22132013302.

It is not an unprimeable number, because it can be changed into a prime (22132013311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10240481 + ... + 10242641.

It is an arithmetic number, because the mean of its divisors is an integer number (1033871643).

Almost surely, 222132013321 is an apocalyptic number.

It is an amenable number.

22132013321 is a deficient number, since it is larger than the sum of its proper divisors (2680906111).

22132013321 is a wasteful number, since it uses less digits than its factorization.

22132013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22132013321 its reverse (12331023122), we get a palindrome (34463036443).

The spelling of 22132013321 in words is "twenty-two billion, one hundred thirty-two million, thirteen thousand, three hundred twenty-one".

Divisors: 1 11 53 121 583 1597 2161 6413 17567 23771 84641 114533 193237 261481 931051 1259863 3451117 10241561 13858493 37962287 182909201 417585157 2012001211 22132013321