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23212123 = 11171011229
BaseRepresentation
bin101100010001…
…1000001011011
31121200022001021
41120203001123
521420241443
62145303311
7401204554
oct130430133
947608037
1023212123
1112114680
127934b37
134a694ac
14312332b
1520879ed
hex162305b

23212123 has 16 divisors (see below), whose sum is σ = 27099360. Its totient is φ = 19648000.

The previous prime is 23212099. The next prime is 23212139. The reversal of 23212123 is 32121232.

23212123 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a cyclic number.

It is not a de Polignac number, because 23212123 - 29 = 23211611 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 23212097 and 23212106.

It is not an unprimeable number, because it can be changed into a prime (23212153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18273 + ... + 19501.

It is an arithmetic number, because the mean of its divisors is an integer number (1693710).

Almost surely, 223212123 is an apocalyptic number.

23212123 is a deficient number, since it is larger than the sum of its proper divisors (3887237).

23212123 is a wasteful number, since it uses less digits than its factorization.

23212123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358.

The product of its digits is 144, while the sum is 16.

The square root of 23212123 is about 4817.8961176015. The cubic root of 23212123 is about 285.2582987122.

Adding to 23212123 its reverse (32121232), we get a palindrome (55333355).

It can be divided in two parts, 2321 and 2123, that added together give a palindrome (4444).

The spelling of 23212123 in words is "twenty-three million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 11 17 101 187 1111 1229 1717 13519 18887 20893 124129 229823 1365419 2110193 23212123