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10122442122 = 2313538329501
BaseRepresentation
bin10010110110101100…
…00011010110001010
3222010110011100010210
421123112003112022
5131212321121442
64352235021550
7505562224032
oct113326032612
928113140123
1010122442122
114324944651
121b65b9a8b6
13c5418ab30
146c05168c2
153e39e719c
hex25b58358a

10122442122 has 64 divisors (see below), whose sum is σ = 22481940096. Its totient is φ = 3018912000.

The previous prime is 10122442067. The next prime is 10122442157. The reversal of 10122442122 is 22124422101.

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, 328372 + ... + 357872.

It is an arithmetic number, because the mean of its divisors is an integer number (351280314).

Almost surely, 210122442122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122442122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11240970048).

10122442122 is an abundant number, since it is smaller than the sum of its proper divisors (12359497974).

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

10122442122 is a wasteful number, since it uses less digits than its factorization.

10122442122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29655.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10122442122 its reverse (22124422101), we get a palindrome (32246864223).

The spelling of 10122442122 in words is "ten billion, one hundred twenty-two million, four hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 53 78 83 106 159 166 249 318 498 689 1079 1378 2067 2158 3237 4134 4399 6474 8798 13197 26394 29501 57187 59002 88503 114374 171561 177006 343122 383513 767026 1150539 1563553 2301078 2448583 3127106 4690659 4897166 7345749 9381318 14691498 20326189 31831579 40652378 60978567 63663158 95494737 121957134 129774899 190989474 259549798 389324697 778649394 1687073687 3374147374 5061221061 10122442122