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12315422106 = 2321352630009
BaseRepresentation
bin10110111100000111…
…00110110110011010
31011210021122021010200
423132003212312122
5200210222001411
65354014123030
7614121234501
oct133603466632
934707567120
1012315422106
11524a8099a9
1224784b0476
131213602120
1484b887838
154c12c8e56
hex2de0e6d9a

12315422106 has 24 divisors (see below), whose sum is σ = 28735985460. Its totient is φ = 3789360576.

The previous prime is 12315422099. The next prime is 12315422113. The reversal of 12315422106 is 60122451321.

12315422106 is a `hidden beast` number, since 1 + 231 + 5 + 422 + 1 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12315422099) and next prime (12315422113).

It can be written as a sum of positive squares in 2 ways, for example, as 12112103025 + 203319081 = 110055^2 + 14259^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12315422106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26314771 + ... + 26315238.

Almost surely, 212315422106 is an apocalyptic number.

12315422106 is an abundant number, since it is smaller than the sum of its proper divisors (16420563354).

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

12315422106 is a wasteful number, since it uses less digits than its factorization.

12315422106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52630030 (or 52630027 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12315422106 its reverse (60122451321), we get a palindrome (72437873427).

The spelling of 12315422106 in words is "twelve billion, three hundred fifteen million, four hundred twenty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 52630009 105260018 157890027 315780054 473670081 684190117 947340162 1368380234 2052570351 4105140702 6157711053 12315422106