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22112312301 = 3217144524917
BaseRepresentation
bin10100100101111111…
…110001101111101101
32010002001012211222200
4110211333301233231
5330241222443201
614054103332113
71411651360542
oct244577615755
963061184880
1022112312301
119417907572
124351451039
1321151b6981
1410daa58bc9
15896416386
hex525ff1bed

22112312301 has 12 divisors (see below), whose sum is σ = 33818830812. Its totient is φ = 13874391936.

The previous prime is 22112312231. The next prime is 22112312311. The reversal of 22112312301 is 10321321122.

It can be written as a sum of positive squares in 2 ways, for example, as 17285675625 + 4826636676 = 131475^2 + 69474^2 .

It is not a de Polignac number, because 22112312301 - 215 = 22112279533 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112312311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72262306 + ... + 72262611.

It is an arithmetic number, because the mean of its divisors is an integer number (2818235901).

Almost surely, 222112312301 is an apocalyptic number.

It is an amenable number.

22112312301 is a deficient number, since it is larger than the sum of its proper divisors (11706518511).

22112312301 is a wasteful number, since it uses less digits than its factorization.

22112312301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144524940 (or 144524937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22112312301 its reverse (10321321122), we get a palindrome (32433633423).

The spelling of 22112312301 in words is "twenty-two billion, one hundred twelve million, three hundred twelve thousand, three hundred one".

Divisors: 1 3 9 17 51 153 144524917 433574751 1300724253 2456923589 7370770767 22112312301