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2241365298113 is a prime number
BaseRepresentation
bin100000100111011011110…
…010000100101111000001
321221021100121020101212202
4200213123302010233001
5243210304004014423
64433400301002545
7320635056454604
oct40473362045701
97837317211782
102241365298113
11794615307777
12302484853455
1313348a7543b6
147a6a85ba33b
153d482c26728
hex209dbc84bc1

2241365298113 has 2 divisors, whose sum is σ = 2241365298114. Its totient is φ = 2241365298112.

The previous prime is 2241365298101. The next prime is 2241365298149. The reversal of 2241365298113 is 3118925631422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2047895516209 + 193469781904 = 1431047^2 + 439852^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241365298113 - 228 = 2241096862657 is a prime.

It is a super-2 number, since 2×22413652981132 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2241365292113) 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, 1120682649056 + 1120682649057.

It is an arithmetic number, because the mean of its divisors is an integer number (1120682649057).

Almost surely, 22241365298113 is an apocalyptic number.

It is an amenable number.

2241365298113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241365298113 is an equidigital number, since it uses as much as digits as its factorization.

2241365298113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 622080, while the sum is 47.

The spelling of 2241365298113 in words is "two trillion, two hundred forty-one billion, three hundred sixty-five million, two hundred ninety-eight thousand, one hundred thirteen".