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104400112001 is a prime number
BaseRepresentation
bin110000100111010111…
…0110100100110000001
3100222110211020012011212
41201032232310212001
53202302412041001
6115543304415505
710354063211243
oct1411656644601
9328424205155
10104400112001
11403041613a9
1218297477595
139aca2b1703
1450a55a8093
152ab06967bb
hex184ebb4981

104400112001 has 2 divisors, whose sum is σ = 104400112002. Its totient is φ = 104400112000.

The previous prime is 104400111997. The next prime is 104400112021. The reversal of 104400112001 is 100211004401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90132048400 + 14268063601 = 300220^2 + 119449^2 .

It is a cyclic number.

It is not a de Polignac number, because 104400112001 - 22 = 104400111997 is a prime.

It is not a weakly prime, because it can be changed into another prime (104400112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52200056000 + 52200056001.

It is an arithmetic number, because the mean of its divisors is an integer number (52200056001).

Almost surely, 2104400112001 is an apocalyptic number.

It is an amenable number.

104400112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

104400112001 is an equidigital number, since it uses as much as digits as its factorization.

104400112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 104400112001 its reverse (100211004401), we get a palindrome (204611116402).

The spelling of 104400112001 in words is "one hundred four billion, four hundred million, one hundred twelve thousand, one".