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23132961 = 3210923581
BaseRepresentation
bin101100000111…
…1101100100001
31121112021110100
41120033230201
521410223321
62143453013
7400425015
oct130175441
947467410
1023132961
1112070155
1278b7169
134a3c457
143102545
15206e326
hex160fb21

23132961 has 12 divisors (see below), whose sum is σ = 33722260. Its totient is φ = 15279840.

The previous prime is 23132953. The next prime is 23132999. The reversal of 23132961 is 16923132.

It can be written as a sum of positive squares in 2 ways, for example, as 11189025 + 11943936 = 3345^2 + 3456^2 .

It is not a de Polignac number, because 23132961 - 23 = 23132953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23132911) 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, 10810 + ... + 12771.

Almost surely, 223132961 is an apocalyptic number.

It is an amenable number.

23132961 is a deficient number, since it is larger than the sum of its proper divisors (10589299).

23132961 is a wasteful number, since it uses less digits than its factorization.

23132961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23696 (or 23693 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 23132961 is about 4809.6736895552. The cubic root of 23132961 is about 284.9336502979.

The spelling of 23132961 in words is "twenty-three million, one hundred thirty-two thousand, nine hundred sixty-one".

Divisors: 1 3 9 109 327 981 23581 70743 212229 2570329 7710987 23132961