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2241086402201 is a prime number
BaseRepresentation
bin100000100111001011001…
…010001010111010011001
321221020122011110000121112
4200213023022022322121
5243204221104332301
64433312455150105
7320625132053153
oct40471312127231
97836564400545
102241086402201
11794491938089
12302407375335
13133444a3542a
147a67d53bad3
153d4684d59bb
hex209cb28ae99

2241086402201 has 2 divisors, whose sum is σ = 2241086402202. Its totient is φ = 2241086402200.

The previous prime is 2241086402183. The next prime is 2241086402207. The reversal of 2241086402201 is 1022046801422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2073888010000 + 167198392201 = 1440100^2 + 408899^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2241086402201 is a prime.

It is not a weakly prime, because it can be changed into another prime (2241086402207) 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, 1120543201100 + 1120543201101.

It is an arithmetic number, because the mean of its divisors is an integer number (1120543201101).

Almost surely, 22241086402201 is an apocalyptic number.

It is an amenable number.

2241086402201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241086402201 is an equidigital number, since it uses as much as digits as its factorization.

2241086402201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 2241086402201 in words is "two trillion, two hundred forty-one billion, eighty-six million, four hundred two thousand, two hundred one".