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1011122220149 is a prime number
BaseRepresentation
bin11101011011010111001…
…01001010110001110101
310120122212211211202020122
432231223211022301311
5113031234242021044
62052300402141325
7133023360030566
oct16555345126165
93518784752218
101011122220149
1135a8a6151578
12143b66951845
137446b6167b2
1436d1d65016d
151b47cde8dee
hexeb6b94ac75

1011122220149 has 2 divisors, whose sum is σ = 1011122220150. Its totient is φ = 1011122220148.

The previous prime is 1011122220011. The next prime is 1011122220187. The reversal of 1011122220149 is 9410222211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 925386280900 + 85735939249 = 961970^2 + 292807^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011122220149 - 224 = 1011105442933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011112220149) 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, 505561110074 + 505561110075.

It is an arithmetic number, because the mean of its divisors is an integer number (505561110075).

Almost surely, 21011122220149 is an apocalyptic number.

It is an amenable number.

1011122220149 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011122220149 is an equidigital number, since it uses as much as digits as its factorization.

1011122220149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 1011122220149 in words is "one trillion, eleven billion, one hundred twenty-two million, two hundred twenty thousand, one hundred forty-nine".