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11122300132049 is a prime number
BaseRepresentation
bin1010000111011001110010…
…1111111001101011010001
31110101021121012221002210202
42201312130233321223101
52424211432313211144
635353303015504545
72225362652150141
oct241663457715321
943337535832722
1011122300132049
1135a8a39515307
1212b76ab988155
13628a9cccb6b2
142a6472182921
151444b355a64e
hexa1d9cbf9ad1

11122300132049 has 2 divisors, whose sum is σ = 11122300132050. Its totient is φ = 11122300132048.

The previous prime is 11122300132003. The next prime is 11122300132051. The reversal of 11122300132049 is 94023100322111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9746840292049 + 1375459840000 = 3121993^2 + 1172800^2 .

It is a cyclic number.

It is not a de Polignac number, because 11122300132049 - 228 = 11122031696593 is a prime.

Together with 11122300132051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11122300132079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561150066024 + 5561150066025.

It is an arithmetic number, because the mean of its divisors is an integer number (5561150066025).

Almost surely, 211122300132049 is an apocalyptic number.

It is an amenable number.

11122300132049 is a deficient number, since it is larger than the sum of its proper divisors (1).

11122300132049 is an equidigital number, since it uses as much as digits as its factorization.

11122300132049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 11122300132049 in words is "eleven trillion, one hundred twenty-two billion, three hundred million, one hundred thirty-two thousand, forty-nine".