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12101361696 = 253242018617
BaseRepresentation
bin10110100010100110…
…00010000000100000
31011020100211212110100
423101103002000200
5144240422033241
65320450102400
7605611606614
oct132123020040
934210755410
1012101361696
11514a9a3176
12241887aa00
1311ab164068
1482b285344
154ac5e39b6
hex2d14c2020

12101361696 has 36 divisors (see below), whose sum is σ = 34413248142. Its totient is φ = 4033787136.

The previous prime is 12101361691. The next prime is 12101361697. The reversal of 12101361696 is 69616310121.

12101361696 is a `hidden beast` number, since 1 + 21 + 0 + 13 + 616 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9181472400 + 2919889296 = 95820^2 + 54036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12101361696.

It is not an unprimeable number, because it can be changed into a prime (12101361691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21009021 + ... + 21009596.

Almost surely, 212101361696 is an apocalyptic number.

12101361696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12101361696 is an abundant number, since it is smaller than the sum of its proper divisors (22311886446).

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

12101361696 is a wasteful number, since it uses less digits than its factorization.

12101361696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42018633 (or 42018622 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 12101361696 in words is "twelve billion, one hundred one million, three hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42018617 84037234 126055851 168074468 252111702 336148936 378167553 504223404 672297872 756335106 1008446808 1344595744 1512670212 2016893616 3025340424 4033787232 6050680848 12101361696