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22523401133361 = 322552099806081
BaseRepresentation
bin1010001111100001000110…
…10100101101110100110001
32221202012211112212210222100
411013300203110231310301
510423010411142231421
6115523035125531013
74513155606531042
oct507604324556461
987665745783870
1022523401133361
1171a4136835157
122639229573a69
13c74c41ba243b
1457c1d1bda8c9
15290d430e0c26
hex147c2352dd31

22523401133361 has 12 divisors (see below), whose sum is σ = 32533932433860. Its totient is φ = 15015540387840.

The previous prime is 22523401133297. The next prime is 22523401133377. The reversal of 22523401133361 is 16333110432522.

22523401133361 is a `hidden beast` number, since 2 + 2 + 523 + 40 + 1 + 1 + 3 + 33 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10526488247025 + 11996912886336 = 3244455^2 + 3463656^2 .

It is not a de Polignac number, because 22523401133361 - 26 = 22523401133297 is a prime.

It is a super-2 number, since 2×225234011333612 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22523401133861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2606160 + ... + 7199921.

It is an arithmetic number, because the mean of its divisors is an integer number (2711161036155).

Almost surely, 222523401133361 is an apocalyptic number.

It is an amenable number.

22523401133361 is a deficient number, since it is larger than the sum of its proper divisors (10010531300499).

22523401133361 is a wasteful number, since it uses less digits than its factorization.

22523401133361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10061296 (or 10061293 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 22523401133361 its reverse (16333110432522), we get a palindrome (38856511565883).

The spelling of 22523401133361 in words is "twenty-two trillion, five hundred twenty-three billion, four hundred one million, one hundred thirty-three thousand, three hundred sixty-one".

Divisors: 1 3 9 255209 765627 2296881 9806081 29418243 88254729 2502600125929 7507800377787 22523401133361