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23523121 = 171923833
BaseRepresentation
bin101100110111…
…0111100110001
31122021002122201
41121232330301
522010214441
62200103201
7403641346
oct131567461
948232581
1023523121
11123072a6
127a64b01
134b47c0b
1431a47cd
1520e9c31
hex166ef31

23523121 has 12 divisors (see below), whose sum is σ = 26293572. Its totient is φ = 20968704.

The previous prime is 23523103. The next prime is 23523131. The reversal of 23523121 is 12132532.

It can be written as a sum of positive squares in 2 ways, for example, as 11696400 + 11826721 = 3420^2 + 3439^2 .

It is not a de Polignac number, because 23523121 - 215 = 23490353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23523131) 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, 4221 + ... + 8053.

It is an arithmetic number, because the mean of its divisors is an integer number (2191131).

It is the magic constant of a 361 × 361 magic square.

Almost surely, 223523121 is an apocalyptic number.

It is an amenable number.

23523121 is a deficient number, since it is larger than the sum of its proper divisors (2770451).

23523121 is a wasteful number, since it uses less digits than its factorization.

23523121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3869 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 23523121 is about 4850.0640201960. The cubic root of 23523121 is about 286.5266227505.

Adding to 23523121 its reverse (12132532), we get a palindrome (35655653).

The spelling of 23523121 in words is "twenty-three million, five hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 17 19 323 361 3833 6137 65161 72827 1238059 1383713 23523121