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22112132121 = 3295311932161
BaseRepresentation
bin10100100101111111…
…000101110000011001
32010002000212200211100
4110211333011300121
5330241201211441
614054055422013
71411650010332
oct244577056031
963060780740
1022112132121
1194177a4162
124351384909
132115152961
1410daa0d289
158963cccb6
hex525fc5c19

22112132121 has 24 divisors (see below), whose sum is σ = 32014870056. Its totient is φ = 14706800640.

The previous prime is 22112132117. The next prime is 22112132131. The reversal of 22112132121 is 12123121122.

22112132121 is a `hidden beast` number, since 221 + 121 + 321 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3704426496 + 18407705625 = 60864^2 + 135675^2 .

It is not a de Polignac number, because 22112132121 - 22 = 22112132117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22112132094 and 22112132103.

It is not an unprimeable number, because it can be changed into a prime (22112132131) 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, 10231281 + ... + 10233441.

It is an arithmetic number, because the mean of its divisors is an integer number (1333952919).

Almost surely, 222112132121 is an apocalyptic number.

It is an amenable number.

22112132121 is a deficient number, since it is larger than the sum of its proper divisors (9902737935).

22112132121 is a wasteful number, since it uses less digits than its factorization.

22112132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4310 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 22112132121 its reverse (12123121122), we get a palindrome (34235253243).

The spelling of 22112132121 in words is "twenty-two billion, one hundred twelve million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 953 1193 2161 2859 3579 6483 8577 10737 19449 1136929 2059433 2578073 3410787 6178299 7734219 10232361 18534897 23202657 2456903569 7370710707 22112132121