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2123612017 is a prime number
BaseRepresentation
bin111111010010011…
…1011111101110001
312110222221200000221
41332210323331301
513322121041032
6550420213041
7103424255452
oct17644737561
95428850027
102123612017
1199a7a615a
124b323a181
1327ac67377
14162075129
15c667d597
hex7e93bf71

2123612017 has 2 divisors, whose sum is σ = 2123612018. Its totient is φ = 2123612016.

The previous prime is 2123611993. The next prime is 2123612033. The reversal of 2123612017 is 7102163212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1388605696 + 735006321 = 37264^2 + 27111^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123612017 - 227 = 1989394289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2123611982 and 2123612000.

It is not a weakly prime, because it can be changed into another prime (2123612047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061806008 + 1061806009.

It is an arithmetic number, because the mean of its divisors is an integer number (1061806009).

Almost surely, 22123612017 is an apocalyptic number.

It is an amenable number.

2123612017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123612017 is an equidigital number, since it uses as much as digits as its factorization.

2123612017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 2123612017 is about 46082.6650379511. The cubic root of 2123612017 is about 1285.3608210195.

Adding to 2123612017 its reverse (7102163212), we get a palindrome (9225775229).

The spelling of 2123612017 in words is "two billion, one hundred twenty-three million, six hundred twelve thousand, seventeen".