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22521136131 = 331364162781
BaseRepresentation
bin10100111110010111…
…010100010000000011
32011010112111020212000
4110332113110100003
5332110402324011
614202430035043
71425044333004
oct247627242003
964115436760
1022521136131
1196076599aa
124446348a83
13217bac7670
1411390791ab
158bc26e356
hex53e5d4403

22521136131 has 16 divisors (see below), whose sum is σ = 35931157920. Its totient is φ = 13859160480.

The previous prime is 22521136111. The next prime is 22521136181. The reversal of 22521136131 is 13163112522.

22521136131 is a `hidden beast` number, since 2 + 2 + 521 + 1 + 3 + 6 + 131 = 666.

It is not a de Polignac number, because 22521136131 - 221 = 22519038979 is a prime.

It is a super-2 number, since 2×225211361312 (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 a junction number, because it is equal to n+sod(n) for n = 22521136095 and 22521136104.

It is not an unprimeable number, because it can be changed into a prime (22521136111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32081040 + ... + 32081741.

It is an arithmetic number, because the mean of its divisors is an integer number (2245697370).

Almost surely, 222521136131 is an apocalyptic number.

22521136131 is a deficient number, since it is larger than the sum of its proper divisors (13410021789).

22521136131 is a wasteful number, since it uses less digits than its factorization.

22521136131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64162803 (or 64162797 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 22521136131 its reverse (13163112522), we get a palindrome (35684248653).

The spelling of 22521136131 in words is "twenty-two billion, five hundred twenty-one million, one hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 64162781 192488343 577465029 834116153 1732395087 2502348459 7507045377 22521136131