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104414312461 is a prime number
BaseRepresentation
bin110000100111110010…
…0111111100000001101
3100222111210221122112211
41201033210333200031
53202320030444321
6115544533030421
710354325004064
oct1411744774015
9328453848484
10104414312461
1140311180418
12182a0185411
139b00214154
1450a74231db
152ab1a4e0e1
hex184f93f80d

104414312461 has 2 divisors, whose sum is σ = 104414312462. Its totient is φ = 104414312460.

The previous prime is 104414312411. The next prime is 104414312473. The reversal of 104414312461 is 164213414401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93227019561 + 11187292900 = 305331^2 + 105770^2 .

It is a cyclic number.

It is not a de Polignac number, because 104414312461 - 219 = 104413788173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104414312411) 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, 52207156230 + 52207156231.

It is an arithmetic number, because the mean of its divisors is an integer number (52207156231).

Almost surely, 2104414312461 is an apocalyptic number.

It is an amenable number.

104414312461 is a deficient number, since it is larger than the sum of its proper divisors (1).

104414312461 is an equidigital number, since it uses as much as digits as its factorization.

104414312461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 104414312461 its reverse (164213414401), we get a palindrome (268627726862).

The spelling of 104414312461 in words is "one hundred four billion, four hundred fourteen million, three hundred twelve thousand, four hundred sixty-one".