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122125105102 = 27111324692427
BaseRepresentation
bin111000110111100111…
…0010011011111001110
3102200020002221010122211
41301233032103133032
54000103011330402
6132034204501034
711552242160050
oct1615716233716
9380202833584
10122125105102
114787a490030
121b80354a77a
13b693555200
145ca76898d0
15329b82b4d7
hex1c6f3937ce

122125105102 has 48 divisors (see below), whose sum is σ = 247309725312. Its totient is φ = 43921107360.

The previous prime is 122125105079. The next prime is 122125105139. The reversal of 122125105102 is 201501521221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320188 + ... + 2372239.

It is an arithmetic number, because the mean of its divisors is an integer number (5152285944).

Almost surely, 2122125105102 is an apocalyptic number.

122125105102 is an abundant number, since it is smaller than the sum of its proper divisors (125184620210).

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

122125105102 is a wasteful number, since it uses less digits than its factorization.

122125105102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692473 (or 4692460 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 122125105102 its reverse (201501521221), we get a palindrome (323626626323).

The spelling of 122125105102 in words is "one hundred twenty-two billion, one hundred twenty-five million, one hundred five thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 169 182 286 338 1001 1183 1859 2002 2366 3718 13013 26026 4692427 9384854 32846989 51616697 61001551 65693978 103233394 122003102 361316879 427010857 671017061 722633758 793020163 854021714 1342034122 1586040326 4697119427 5551141141 8723221793 9394238854 11102282282 17446443586 61062552551 122125105102