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104402406401 is a prime number
BaseRepresentation
bin110000100111011011…
…1100100110000000001
3100222110222112202111122
41201032313210300001
53202304004001101
6115543425522025
710354121545406
oct1411667446001
9328428482448
10104402406401
11403054891a7
12182981a3315
139aca905b47
1450a5a042ad
152ab099b51b
hex184ede4c01

104402406401 has 2 divisors, whose sum is σ = 104402406402. Its totient is φ = 104402406400.

The previous prime is 104402406379. The next prime is 104402406419. The reversal of 104402406401 is 104604204401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94387200625 + 10015205776 = 307225^2 + 100076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104402406401 is a prime.

It is not a weakly prime, because it can be changed into another prime (104402436401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52201203200 + 52201203201.

It is an arithmetic number, because the mean of its divisors is an integer number (52201203201).

Almost surely, 2104402406401 is an apocalyptic number.

It is an amenable number.

104402406401 is a deficient number, since it is larger than the sum of its proper divisors (1).

104402406401 is an equidigital number, since it uses as much as digits as its factorization.

104402406401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 26.

The spelling of 104402406401 in words is "one hundred four billion, four hundred two million, four hundred six thousand, four hundred one".