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1011332122349 is a prime number
BaseRepresentation
bin11101011011110000001…
…01111000011011101101
310120200102110210212221012
432231320011320123231
5113032202010403344
62052333301115005
7133031516126423
oct16557005703355
93520373725835
101011332122349
1135a9a368816a
121440050b8a65
13744a2c59c93
1436d3d48d113
151b49155c29e
hexeb781786ed

1011332122349 has 2 divisors, whose sum is σ = 1011332122350. Its totient is φ = 1011332122348.

The previous prime is 1011332122327. The next prime is 1011332122373. The reversal of 1011332122349 is 9432212331101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1004224452100 + 7107670249 = 1002110^2 + 84307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1011332122349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011332127349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505666061174 + 505666061175.

It is an arithmetic number, because the mean of its divisors is an integer number (505666061175).

Almost surely, 21011332122349 is an apocalyptic number.

It is an amenable number.

1011332122349 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011332122349 is an equidigital number, since it uses as much as digits as its factorization.

1011332122349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 1011332122349 in words is "one trillion, eleven billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred forty-nine".