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23111204442129 = 3273295311912249
BaseRepresentation
bin1010100000100111111110…
…01000011001000000010001
310000211102001120111202110200
411100103333020121000101
511012123221314122004
6121053050222445413
74603505122315356
oct520237710310021
9100742046452420
1023111204442129
117400452444041
122713133733869
13cb84b99cbb8b
1459c8342a262d
152a12972d9239
hex1504ff219011

23111204442129 has 24 divisors (see below), whose sum is σ = 33851612613000. Its totient is φ = 15191261033472.

The previous prime is 23111204442127. The next prime is 23111204442149. The reversal of 23111204442129 is 92124440211132.

23111204442129 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 1 + 204 + 4 + 421 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4327431741504 + 18783772700625 = 2080248^2 + 4334025^2 .

It is not a de Polignac number, because 23111204442129 - 21 = 23111204442127 is a prime.

It is a super-2 number, since 2×231112044421292 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23111204442093 and 23111204442102.

It is not an unprimeable number, because it can be changed into a prime (23111204442127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4016004 + ... + 7896245.

It is an arithmetic number, because the mean of its divisors is an integer number (1410483858875).

Almost surely, 223111204442129 is an apocalyptic number.

It is an amenable number.

23111204442129 is a deficient number, since it is larger than the sum of its proper divisors (10740408170871).

23111204442129 is a wasteful number, since it uses less digits than its factorization.

23111204442129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11915281 (or 11915278 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23111204442129 in words is "twenty-three trillion, one hundred eleven billion, two hundred four million, four hundred forty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 73 219 657 2953 8859 26577 215569 646707 1940121 11912249 35736747 107210241 869594177 2608782531 7826347593 35176871297 105530613891 316591841673 2567911604681 7703734814043 23111204442129