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22322120121 = 3273159193723
BaseRepresentation
bin10100110010100000…
…001000010110111001
32010121200000012012200
4110302200020112321
5331203430320441
614131000300413
71420106614260
oct246240102671
963550005180
1022322120121
119515289264
1243ab771709
1321497c6202
14111a8715d7
158a9a5b7b6
hex5328085b9

22322120121 has 48 divisors (see below), whose sum is σ = 38682808320. Its totient is φ = 12134746080.

The previous prime is 22322120099. The next prime is 22322120131. The reversal of 22322120121 is 12102122322.

22322120121 is a `hidden beast` number, since 223 + 221 + 201 + 21 = 666.

It is not a de Polignac number, because 22322120121 - 29 = 22322119609 is a prime.

It is a super-3 number, since 3×223221201213 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322120094 and 22322120103.

It is not an unprimeable number, because it can be changed into a prime (22322120131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18366 + ... + 212088.

It is an arithmetic number, because the mean of its divisors is an integer number (805891840).

Almost surely, 222322120121 is an apocalyptic number.

22322120121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22322120121 is a deficient number, since it is larger than the sum of its proper divisors (16360688199).

22322120121 is a wasteful number, since it uses less digits than its factorization.

22322120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193826 (or 193823 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22322120121 its reverse (12102122322), we get a palindrome (34424242443).

It can be divided in two parts, 223221 and 20121, that added together give a palindrome (243342).

The spelling of 22322120121 in words is "twenty-two billion, three hundred twenty-two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 31 59 63 93 177 217 279 413 531 651 1239 1829 1953 3717 5487 12803 16461 38409 115227 193723 581169 1356061 1743507 4068183 6005413 11429657 12204549 18016239 34288971 42037891 54048717 80007599 102866913 126113673 240022797 354319367 378341019 720068391 1062958101 2480235569 3188874303 7440706707 22322120121