Search a number
-
+
122102130113201 = 7174758737191211
BaseRepresentation
bin11011110000110100011110…
…000101110111101010110001
3121000022211221101110012010202
4123300310132011313222301
5112001010130302110301
61111404535540404545
734501405416264260
oct3360643605675261
9530284841405122
10122102130113201
11359a624a286727
12118402643a6755
1353192488a2c94
142221abb8285d7
15e1b25388266b
hex6f0d1e177ab1

122102130113201 has 32 divisors (see below), whose sum is σ = 151154606518272. Its totient is φ = 96242520648960.

The previous prime is 122102130113179. The next prime is 122102130113209. The reversal of 122102130113201 is 102311031201221.

It is not a de Polignac number, because 122102130113201 - 234 = 122084950244017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122102130113209) 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, 15312515 + ... + 21878696.

It is an arithmetic number, because the mean of its divisors is an integer number (4723581453696).

Almost surely, 2122102130113201 is an apocalyptic number.

It is an amenable number.

122102130113201 is a deficient number, since it is larger than the sum of its proper divisors (29052476405071).

122102130113201 is a wasteful number, since it uses less digits than its factorization.

122102130113201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37191869.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 122102130113201 its reverse (102311031201221), we get a palindrome (224413161314422).

The spelling of 122102130113201 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred thirty million, one hundred thirteen thousand, two hundred one".

Divisors: 1 7 17 47 119 329 587 799 4109 5593 9979 27589 69853 193123 469013 3283091 37191211 260338477 632250587 1747986917 4425754109 12235908419 21831240857 29715777589 152818685999 208010443123 371131094569 1026068320279 2597917661983 7182478241953 17443161444743 122102130113201