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211122000109 is a prime number
BaseRepresentation
bin1100010010011111011…
…0100001000011101101
3202011221110021211102101
43010213312201003231
511424334213000414
6240553233055101
721152541251206
oct3044766410355
9664843254371
10211122000109
1181599957529
1234b003b7491
1316ba75c0c27
14a30b26c5ad
155759ab1a74
hex3127da10ed

211122000109 has 2 divisors, whose sum is σ = 211122000110. Its totient is φ = 211122000108.

The previous prime is 211122000097. The next prime is 211122000113. The reversal of 211122000109 is 901000221112.

It is a happy number.

211122000109 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., 146844539209 + 64277460900 = 383203^2 + 253530^2 .

It is a cyclic number.

It is not a de Polignac number, because 211122000109 - 225 = 211088445677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211122000149) 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, 105561000054 + 105561000055.

It is an arithmetic number, because the mean of its divisors is an integer number (105561000055).

Almost surely, 2211122000109 is an apocalyptic number.

It is an amenable number.

211122000109 is a deficient number, since it is larger than the sum of its proper divisors (1).

211122000109 is an equidigital number, since it uses as much as digits as its factorization.

211122000109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 211122000109 in words is "two hundred eleven billion, one hundred twenty-two million, one hundred nine", and thus it is an aban number.