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2122212013 is a prime number
BaseRepresentation
bin111111001111110…
…0110001010101101
312110220022112120221
41332133212022231
513321241241023
6550330211341
7103406335015
oct17637461255
95426275527
102122212013
11999a2a329
124b2883b51
1327a89706c
14161bccc45
15c64a385d
hex7e7e62ad

2122212013 has 2 divisors, whose sum is σ = 2122212014. Its totient is φ = 2122212012.

The previous prime is 2122211989. The next prime is 2122212041. The reversal of 2122212013 is 3102122212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1416619044 + 705592969 = 37638^2 + 26563^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122212013 - 29 = 2122211501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122212073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061106006 + 1061106007.

It is an arithmetic number, because the mean of its divisors is an integer number (1061106007).

Almost surely, 22122212013 is an apocalyptic number.

It is an amenable number.

2122212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122212013 is an equidigital number, since it uses as much as digits as its factorization.

2122212013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2122212013 is about 46067.4723964752. The cubic root of 2122212013 is about 1285.0782983070.

Adding to 2122212013 its reverse (3102122212), we get a palindrome (5224334225).

The spelling of 2122212013 in words is "two billion, one hundred twenty-two million, two hundred twelve thousand, thirteen".