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290011011100997 is a prime number
BaseRepresentation
bin100000111110000110111001…
…1010011000011000101000101
31102000211210010000001012222012
41001330031303103003011011
5301003020022320212442
62504445115205144005
7115041414131661644
oct10174156323030505
91360753100035865
10290011011100997
1184451a8521667a
122863a0b09bb005
13c5a8bc858c994
145188871c6735b
15237dcba44e582
hex107c3734c3145

290011011100997 has 2 divisors, whose sum is σ = 290011011100998. Its totient is φ = 290011011100996.

The previous prime is 290011011100901. The next prime is 290011011101017. The reversal of 290011011100997 is 799001110110092.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 284201301109441 + 5809709991556 = 16858271^2 + 2410334^2 .

It is a cyclic number.

It is not a de Polignac number, because 290011011100997 - 218 = 290011010838853 is a prime.

It is a super-2 number, since 2×2900110111009972 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (290011011100397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 145005505550498 + 145005505550499.

It is an arithmetic number, because the mean of its divisors is an integer number (145005505550499).

Almost surely, 2290011011100997 is an apocalyptic number.

It is an amenable number.

290011011100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

290011011100997 is an equidigital number, since it uses as much as digits as its factorization.

290011011100997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 41.

The spelling of 290011011100997 in words is "two hundred ninety trillion, eleven billion, eleven million, one hundred thousand, nine hundred ninety-seven".