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11182112441 is a prime number
BaseRepresentation
bin10100110101000000…
…10111111010111001
31001212022010011112122
422122200113322321
5140400110044231
65045331251025
7544050246623
oct123240277271
931768104478
1011182112441
114819013645
122200a49a75
13109288aba6
14781157c13
15456a6377b
hex29a817eb9

11182112441 has 2 divisors, whose sum is σ = 11182112442. Its totient is φ = 11182112440.

The previous prime is 11182112437. The next prime is 11182112443. The reversal of 11182112441 is 14421128111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6499584400 + 4682528041 = 80620^2 + 68429^2 .

It is a cyclic number.

It is not a de Polignac number, because 11182112441 - 22 = 11182112437 is a prime.

Together with 11182112443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11182112441.

It is not a weakly prime, because it can be changed into another prime (11182112443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5591056220 + 5591056221.

It is an arithmetic number, because the mean of its divisors is an integer number (5591056221).

Almost surely, 211182112441 is an apocalyptic number.

It is an amenable number.

11182112441 is a deficient number, since it is larger than the sum of its proper divisors (1).

11182112441 is an equidigital number, since it uses as much as digits as its factorization.

11182112441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 512, while the sum is 26.

The spelling of 11182112441 in words is "eleven billion, one hundred eighty-two million, one hundred twelve thousand, four hundred forty-one".