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2122106009 is a prime number
BaseRepresentation
bin111111001111100…
…1100010010011001
312110220010011011212
41332133030102121
513321224343014
6550324032505
7103405413662
oct17637142231
95426104155
102122106009
11999967721
124b2832735
1327a85aa3a
14161ba2369
15c648223e
hex7e7cc499

2122106009 has 2 divisors, whose sum is σ = 2122106010. Its totient is φ = 2122106008.

The previous prime is 2122105981. The next prime is 2122106053. The reversal of 2122106009 is 9006012212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2081184400 + 40921609 = 45620^2 + 6397^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122106009 - 28 = 2122105753 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2122106309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061053004 + 1061053005.

It is an arithmetic number, because the mean of its divisors is an integer number (1061053005).

Almost surely, 22122106009 is an apocalyptic number.

It is an amenable number.

2122106009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122106009 is an equidigital number, since it uses as much as digits as its factorization.

2122106009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2122106009 is about 46066.3218523033. The cubic root of 2122106009 is about 1285.0569014960.

The spelling of 2122106009 in words is "two billion, one hundred twenty-two million, one hundred six thousand, nine".