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41102112313 is a prime number
BaseRepresentation
bin100110010001111000…
…000111011000111001
310221002110212122101001
4212101320013120321
51133134120043223
630514304525001
72653356122143
oct462170073071
9127073778331
1041102112313
1116482086369
127b71020761
133b504c2822
141dbcad9c93
1511086389ad
hex991e07639

41102112313 has 2 divisors, whose sum is σ = 41102112314. Its totient is φ = 41102112312.

The previous prime is 41102112301. The next prime is 41102112319. The reversal of 41102112313 is 31321120114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41082425344 + 19686969 = 202688^2 + 4437^2 .

It is a cyclic number.

It is not a de Polignac number, because 41102112313 - 217 = 41101981241 is a prime.

It is not a weakly prime, because it can be changed into another prime (41102112319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20551056156 + 20551056157.

It is an arithmetic number, because the mean of its divisors is an integer number (20551056157).

Almost surely, 241102112313 is an apocalyptic number.

It is an amenable number.

41102112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

41102112313 is an equidigital number, since it uses as much as digits as its factorization.

41102112313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 41102112313 its reverse (31321120114), we get a palindrome (72423232427).

The spelling of 41102112313 in words is "forty-one billion, one hundred two million, one hundred twelve thousand, three hundred thirteen".