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104222222222401 is a prime number
BaseRepresentation
bin10111101100101000100000…
…100010001000010001000001
3111200000112202212022210000101
4113230220200202020101001
5102130034102342104101
61005355010010122401
730644543552651653
oct2754504042102101
9450015685283011
10104222222222401
113023243a4165a8
12b832b6b420401
13462016214a96a
141ba454d6dc6d3
15c0b0d4ac6401
hex5eca20888441

104222222222401 has 2 divisors, whose sum is σ = 104222222222402. Its totient is φ = 104222222222400.

The previous prime is 104222222222387. The next prime is 104222222222473.

It is a happy number.

104222222222401 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101033858433600 + 3188363788801 = 10051560^2 + 1785599^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 104222222222401 - 27 = 104222222222273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104222222222401.

It is not a weakly prime, because it can be changed into another prime (104222222222801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52111111111200 + 52111111111201.

It is an arithmetic number, because the mean of its divisors is an integer number (52111111111201).

Almost surely, 2104222222222401 is an apocalyptic number.

It is an amenable number.

104222222222401 is a deficient number, since it is larger than the sum of its proper divisors (1).

104222222222401 is an equidigital number, since it uses as much as digits as its factorization.

104222222222401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8192, while the sum is 28.

The spelling of 104222222222401 in words is "one hundred four trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, four hundred one".