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241102199578001 is a prime number
BaseRepresentation
bin110110110100011111111010…
…111101011101110110010001
31011121200010220211111222101112
4312310133322331131312101
5223100204301042444001
62212440453231543105
7101533026160246616
oct6664377275356621
91147603824458345
10241102199578001
116a90596115a973
122305b27a98aa95
13a46babc246148
1443775a177450d
151cd194c8e3cbb
hexdb47faf5dd91

241102199578001 has 2 divisors, whose sum is σ = 241102199578002. Its totient is φ = 241102199578000.

The previous prime is 241102199577881. The next prime is 241102199578153. The reversal of 241102199578001 is 100875991201142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169018720518400 + 72083479059601 = 13000720^2 + 8490199^2 .

It is a cyclic number.

It is not a de Polignac number, because 241102199578001 - 222 = 241102195383697 is a prime.

It is not a weakly prime, because it can be changed into another prime (241102199478001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120551099789000 + 120551099789001.

It is an arithmetic number, because the mean of its divisors is an integer number (120551099789001).

Almost surely, 2241102199578001 is an apocalyptic number.

It is an amenable number.

241102199578001 is a deficient number, since it is larger than the sum of its proper divisors (1).

241102199578001 is an equidigital number, since it uses as much as digits as its factorization.

241102199578001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 50.

The spelling of 241102199578001 in words is "two hundred forty-one trillion, one hundred two billion, one hundred ninety-nine million, five hundred seventy-eight thousand, one".