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22123132122 = 2371341996703
BaseRepresentation
bin10100100110101001…
…000011010011011010
32010002210120112222210
4110212221003103122
5330302010211442
614055131255550
71412142343320
oct244651032332
963083515883
1022123132122
119422a27673
124354baa5b6
132117504730
1410dc273d10
1589735219c
hex526a434da

22123132122 has 64 divisors (see below), whose sum is σ = 54587473920. Its totient is φ = 5820686784.

The previous prime is 22123132091. The next prime is 22123132151.

22123132122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180423 + ... + 277125.

It is an arithmetic number, because the mean of its divisors is an integer number (852929280).

Almost surely, 222123132122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22123132122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27293736960).

22123132122 is an abundant number, since it is smaller than the sum of its proper divisors (32464341798).

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

22123132122 is a wasteful number, since it uses less digits than its factorization.

22123132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97147.

The product of its digits is 576, while the sum is 21.

The spelling of 22123132122 in words is "twenty-two billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 419 546 838 1257 2514 2933 5447 5866 8799 10894 16341 17598 32682 38129 76258 96703 114387 193406 228774 290109 580218 676921 1257139 1353842 2030763 2514278 3771417 4061526 7542834 8799973 17599946 26399919 40518557 52799838 81037114 121555671 243111342 283629899 526741241 567259798 850889697 1053482482 1580223723 1701779394 3160447446 3687188687 7374377374 11061566061 22123132122