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23134041001 is a prime number
BaseRepresentation
bin10101100010111001…
…010111001110101001
32012201020210001021101
4111202321113032221
5334334303303001
614343322441401
71446166050451
oct254271271651
965636701241
1023134041001
1198a1621455
124597663261
132248a91076
141196620d61
15905e8aa01
hex562e573a9

23134041001 has 2 divisors, whose sum is σ = 23134041002. Its totient is φ = 23134041000.

The previous prime is 23134040989. The next prime is 23134041041. The reversal of 23134041001 is 10014043132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16854270976 + 6279770025 = 129824^2 + 79245^2 .

It is a cyclic number.

It is not a de Polignac number, because 23134041001 - 219 = 23133516713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23134041001.

It is not a weakly prime, because it can be changed into another prime (23134041041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11567020500 + 11567020501.

It is an arithmetic number, because the mean of its divisors is an integer number (11567020501).

Almost surely, 223134041001 is an apocalyptic number.

It is an amenable number.

23134041001 is a deficient number, since it is larger than the sum of its proper divisors (1).

23134041001 is an equidigital number, since it uses as much as digits as its factorization.

23134041001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 23134041001 its reverse (10014043132), we get a palindrome (33148084133).

The spelling of 23134041001 in words is "twenty-three billion, one hundred thirty-four million, forty-one thousand, one".