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2121000109 is a prime number
BaseRepresentation
bin111111001101011…
…1110010010101101
312110211000222011121
41332122332102231
513320434000414
6550244220541
7103363126534
oct17632762255
95424028147
102121000109
11999281858
124b239a751
1327a561567
1416199531b
15c6314724
hex7e6be4ad

2121000109 has 2 divisors, whose sum is σ = 2121000110. Its totient is φ = 2121000108.

The previous prime is 2121000059. The next prime is 2121000113. The reversal of 2121000109 is 9010001212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2118024484 + 2975625 = 46022^2 + 1725^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121000109 - 27 = 2120999981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121000092 and 2121000101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121000149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060500054 + 1060500055.

It is an arithmetic number, because the mean of its divisors is an integer number (1060500055).

Almost surely, 22121000109 is an apocalyptic number.

It is an amenable number.

2121000109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121000109 is an equidigital number, since it uses as much as digits as its factorization.

2121000109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 2121000109 is about 46054.3169420631. The cubic root of 2121000109 is about 1284.8336340812.

The spelling of 2121000109 in words is "two billion, one hundred twenty-one million, one hundred nine", and thus it is an aban number.