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22531125105 = 335237256401
BaseRepresentation
bin10100111110111101…
…011010111101110001
32011011020021202011000
4110332331122331301
5332120432000410
614203424112213
71425225255246
oct247675327561
964136252130
1022531125105
119612261855
124449765669
132180bb41b8
14113a5195cd
158bd093dc0
hex53ef5af71

22531125105 has 32 divisors (see below), whose sum is σ = 41796875520. Its totient is φ = 11494137600.

The previous prime is 22531125073. The next prime is 22531125131. The reversal of 22531125105 is 50152113522.

22531125105 is a `hidden beast` number, since 2 + 2 + 531 + 1 + 25 + 105 = 666.

It is not a de Polignac number, because 22531125105 - 25 = 22531125073 is a prime.

It is a super-2 number, since 2×225311251052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3625096 + ... + 3631305.

It is an arithmetic number, because the mean of its divisors is an integer number (1306152360).

Almost surely, 222531125105 is an apocalyptic number.

It is an amenable number.

22531125105 is a deficient number, since it is larger than the sum of its proper divisors (19265750415).

22531125105 is a wasteful number, since it uses less digits than its factorization.

22531125105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256438 (or 7256432 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 22531125105 its reverse (50152113522), we get a palindrome (72683238627).

The spelling of 22531125105 in words is "twenty-two billion, five hundred thirty-one million, one hundred twenty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 621 1035 3105 7256401 21769203 36282005 65307609 108846015 166897223 195922827 326538045 500691669 834486115 979614135 1502075007 2503458345 4506225021 7510375035 22531125105