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211120200001 is a prime number
BaseRepresentation
bin1100010010011110111…
…1101001100101000001
3202011221022220101010201
43010213233221211001
511424333232400001
6240553130325201
721152520043114
oct3044757514501
9664838811121
10211120200001
1181598938037
1234abb889801
1316ba7110789
14a30ad2057b
155759858501
hex3127be9941

211120200001 has 2 divisors, whose sum is σ = 211120200002. Its totient is φ = 211120200000.

The previous prime is 211120199959. The next prime is 211120200037. The reversal of 211120200001 is 100002021112.

211120200001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168612069376 + 42508130625 = 410624^2 + 206175^2 .

It is a cyclic number.

It is not a de Polignac number, because 211120200001 - 213 = 211120191809 is a prime.

It is not a weakly prime, because it can be changed into another prime (211120200041) 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, 105560100000 + 105560100001.

It is an arithmetic number, because the mean of its divisors is an integer number (105560100001).

Almost surely, 2211120200001 is an apocalyptic number.

It is an amenable number.

211120200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211120200001 is an equidigital number, since it uses as much as digits as its factorization.

211120200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211120200001 its reverse (100002021112), we get a palindrome (311122221113).

The spelling of 211120200001 in words is "two hundred eleven billion, one hundred twenty million, two hundred thousand, one".