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23132313 = 3273137257
BaseRepresentation
bin101100000111…
…1100010011001
31121112020120100
41120033202121
521410213223
62143450013
7400423101
oct130174231
947466510
1023132313
111206a716
1278b6909
134a3c079
143102201
15206e043
hex160f899

23132313 has 24 divisors (see below), whose sum is σ = 34251048. Its totient is φ = 15040512.

The previous prime is 23132311. The next prime is 23132371. The reversal of 23132313 is 31323132.

It can be written as a sum of positive squares in 4 ways, for example, as 11923209 + 11209104 = 3453^2 + 3348^2 .

It is not a de Polignac number, because 23132313 - 21 = 23132311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132311) 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, 89881 + ... + 90137.

It is an arithmetic number, because the mean of its divisors is an integer number (1427127).

Almost surely, 223132313 is an apocalyptic number.

It is an amenable number.

23132313 is a deficient number, since it is larger than the sum of its proper divisors (11118735).

23132313 is a wasteful number, since it uses less digits than its factorization.

23132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 470 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 23132313 is about 4809.6063248461. The cubic root of 23132313 is about 284.9309897547.

Adding to 23132313 its reverse (31323132), we get a palindrome (54455445).

It can be divided in two parts, 2 and 3132313, that multiplied together give a palindrome (6264626).

The spelling of 23132313 in words is "twenty-three million, one hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 73 137 219 257 411 657 771 1233 2313 10001 18761 30003 35209 56283 90009 105627 168849 316881 2570257 7710771 23132313