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211123013917 is a prime number
BaseRepresentation
bin1100010010011111101…
…0011000100100011101
3202011221112012100002211
43010213322120210131
511424334442421132
6240553310520421
721152553003004
oct3044772304435
9664845170084
10211123013917
118159a48a192
1234b00806111
1316ba788750a
14a30b453c3b
155759c12147
hex3127e9891d

211123013917 has 2 divisors, whose sum is σ = 211123013918. Its totient is φ = 211123013916.

The previous prime is 211123013891. The next prime is 211123013951. The reversal of 211123013917 is 719310321112.

211123013917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107576784121 + 103546229796 = 327989^2 + 321786^2 .

It is a cyclic number.

It is not a de Polignac number, because 211123013917 - 27 = 211123013789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211123013977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105561506958 + 105561506959.

It is an arithmetic number, because the mean of its divisors is an integer number (105561506959).

Almost surely, 2211123013917 is an apocalyptic number.

It is an amenable number.

211123013917 is a deficient number, since it is larger than the sum of its proper divisors (1).

211123013917 is an equidigital number, since it uses as much as digits as its factorization.

211123013917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 211123013917 in words is "two hundred eleven billion, one hundred twenty-three million, thirteen thousand, nine hundred seventeen".