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2241187607017 is a prime number
BaseRepresentation
bin100000100111010001001…
…100001111000111101001
321221020220012212202112001
4200213101030033013221
5243204423011411032
64433330512251001
7320630501224012
oct40472114170751
97836805782461
102241187607017
11794533a81827
12302435240a61
1313345c9ab438
147a68cb64009
153d4723273e7
hex209d130f1e9

2241187607017 has 2 divisors, whose sum is σ = 2241187607018. Its totient is φ = 2241187607016.

The previous prime is 2241187606997. The next prime is 2241187607089. The reversal of 2241187607017 is 7107067811422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1779499972441 + 461687634576 = 1333979^2 + 679476^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241187607017 - 235 = 2206827868649 is a prime.

It is not a weakly prime, because it can be changed into another prime (2241187607917) 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, 1120593803508 + 1120593803509.

It is an arithmetic number, because the mean of its divisors is an integer number (1120593803509).

Almost surely, 22241187607017 is an apocalyptic number.

It is an amenable number.

2241187607017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241187607017 is an equidigital number, since it uses as much as digits as its factorization.

2241187607017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 263424, while the sum is 46.

The spelling of 2241187607017 in words is "two trillion, two hundred forty-one billion, one hundred eighty-seven million, six hundred seven thousand, seventeen".