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23742123 = 3371071999
BaseRepresentation
bin101101010010…
…0011010101011
31122200020001220
41122210122223
522034221443
62204513123
7405543006
oct132443253
948606056
1023742123
1112446899
127b4b7a3
134bc37c2
14322053d
15213ea83
hex16a46ab

23742123 has 16 divisors (see below), whose sum is σ = 32832000. Its totient is φ = 15248736.

The previous prime is 23742119. The next prime is 23742127. The reversal of 23742123 is 32124732.

It is an interprime number because it is at equal distance from previous prime (23742119) and next prime (23742127).

It is not a de Polignac number, because 23742123 - 22 = 23742119 is a prime.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 23742093 and 23742102.

It is not an unprimeable number, because it can be changed into a prime (23742127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10878 + ... + 12876.

It is an arithmetic number, because the mean of its divisors is an integer number (2052000).

Almost surely, 223742123 is an apocalyptic number.

23742123 is a deficient number, since it is larger than the sum of its proper divisors (9089877).

23742123 is a wasteful number, since it uses less digits than its factorization.

23742123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146.

The product of its digits is 2016, while the sum is 24.

The square root of 23742123 is about 4872.5889422359. The cubic root of 23742123 is about 287.4130721440.

Adding to 23742123 its reverse (32124732), we get a palindrome (55866855).

The spelling of 23742123 in words is "twenty-three million, seven hundred forty-two thousand, one hundred twenty-three".

Divisors: 1 3 37 107 111 321 1999 3959 5997 11877 73963 213893 221889 641679 7914041 23742123