Search a number
-
+
122123222133 = 311171911457287
BaseRepresentation
bin111000110111100011…
…1000111110001110101
3102200012222101110201020
41301233013013301311
54000102021102013
6132034100251353
711552220155253
oct1615707076165
9380188343636
10122123222133
1147879414360
121b8029a0b59
13b693046123
145ca73195d3
15329b5a8623
hex1c6f1c7c75

122123222133 has 32 divisors (see below), whose sum is σ = 197981936640. Its totient is φ = 65993967360.

The previous prime is 122123222129. The next prime is 122123222159. The reversal of 122123222133 is 331222321221.

It is not a de Polignac number, because 122123222133 - 22 = 122123222129 is a prime.

It is a super-2 number, since 2×1221232221332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123222173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5717985 + ... + 5739302.

It is an arithmetic number, because the mean of its divisors is an integer number (6186935520).

Almost surely, 2122123222133 is an apocalyptic number.

It is an amenable number.

122123222133 is a deficient number, since it is larger than the sum of its proper divisors (75858714507).

122123222133 is a wasteful number, since it uses less digits than its factorization.

122123222133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11457337.

The product of its digits is 1728, while the sum is 24.

Adding to 122123222133 its reverse (331222321221), we get a palindrome (453345543354).

The spelling of 122123222133 in words is "one hundred twenty-two billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 11 17 19 33 51 57 187 209 323 561 627 969 3553 10659 11457287 34371861 126030157 194773879 217688453 378090471 584321637 653065359 2142512669 2394572983 3700703701 6427538007 7183718949 11102111103 40707740711 122123222133