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23404124129 is a prime number
BaseRepresentation
bin10101110010111111…
…101001011111100001
32020102001222200200012
4111302333221133201
5340412423433004
614430211334305
71455655526021
oct256277513741
966361880605
1023404124129
119a20021951
124651bb1395
13228ca15979
1411c0447a81
1591ea3a46e
hex572fe97e1

23404124129 has 2 divisors, whose sum is σ = 23404124130. Its totient is φ = 23404124128.

The previous prime is 23404124087. The next prime is 23404124141. The reversal of 23404124129 is 92142140432.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21823266529 + 1580857600 = 147727^2 + 39760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23404124129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23404124095 and 23404124104.

It is not a weakly prime, because it can be changed into another prime (23404124629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11702062064 + 11702062065.

It is an arithmetic number, because the mean of its divisors is an integer number (11702062065).

Almost surely, 223404124129 is an apocalyptic number.

It is an amenable number.

23404124129 is a deficient number, since it is larger than the sum of its proper divisors (1).

23404124129 is an equidigital number, since it uses as much as digits as its factorization.

23404124129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 23404124129 in words is "twenty-three billion, four hundred four million, one hundred twenty-four thousand, one hundred twenty-nine".