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23872129 is a prime number
BaseRepresentation
bin101101100010…
…0001010000001
31122220211101221
41123010022001
522102402004
62211355041
7406624021
oct133041201
948824357
1023872129
1112525536
127bb2a81
134c3aa28
143255a81
152168354
hex16c4281

23872129 has 2 divisors, whose sum is σ = 23872130. Its totient is φ = 23872128.

The previous prime is 23872111. The next prime is 23872153. The reversal of 23872129 is 92127832.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16160400 + 7711729 = 4020^2 + 2777^2 .

It is a cyclic number.

It is not a de Polignac number, because 23872129 - 217 = 23741057 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 = 23872094 and 23872103.

It is not a weakly prime, because it can be changed into another prime (23872109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11936064 + 11936065.

It is an arithmetic number, because the mean of its divisors is an integer number (11936065).

Almost surely, 223872129 is an apocalyptic number.

It is an amenable number.

23872129 is a deficient number, since it is larger than the sum of its proper divisors (1).

23872129 is an equidigital number, since it uses as much as digits as its factorization.

23872129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 34.

The square root of 23872129 is about 4885.9112763127. The cubic root of 23872129 is about 287.9367185102.

The spelling of 23872129 in words is "twenty-three million, eight hundred seventy-two thousand, one hundred twenty-nine".