Search a number
-
+
122150651106 = 231117281387433
BaseRepresentation
bin111000111000010111…
…1110000010011100010
3102200021220000000012010
41301300233300103202
54000131031313411
6132040520213350
711553002255151
oct1616057602342
9380256000163
10122150651106
1147892949130
121b81000a256
13b69892aaa3
145caac19598
15329dbc57a6
hex1c70bf04e2

122150651106 has 64 divisors (see below), whose sum is σ = 283192557696. Its totient is φ = 34713907200.

The previous prime is 122150651101. The next prime is 122150651159. The reversal of 122150651106 is 601156051221.

It is not an unprimeable number, because it can be changed into a prime (122150651101) 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, 121566 + ... + 508998.

It is an arithmetic number, because the mean of its divisors is an integer number (4424883714).

Almost surely, 2122150651106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122150651106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141596278848).

122150651106 is an abundant number, since it is smaller than the sum of its proper divisors (161041906590).

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

122150651106 is a wasteful number, since it uses less digits than its factorization.

122150651106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387747.

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 122150651106 in words is "one hundred twenty-two billion, one hundred fifty million, six hundred fifty-one thousand, one hundred six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 281 374 561 562 843 1122 1686 3091 4777 6182 9273 9554 14331 18546 28662 52547 105094 157641 315282 387433 774866 1162299 2324598 4261763 6586361 8523526 12785289 13172722 19759083 25570578 39518166 72449971 108868673 144899942 217349913 217737346 326606019 434699826 653212038 1197555403 1850767441 2395110806 3592666209 3701534882 5552302323 7185332418 11104604646 20358441851 40716883702 61075325553 122150651106