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2122713221 is a prime number
BaseRepresentation
bin111111010000110…
…0000100010000101
312110221021000010012
41332201200202011
513321403310341
6550345040005
7103413523166
oct17641404205
95427230105
102122713221
1199a241952
124b2a86005
1327aa11235
14161cbd76d
15c65520eb
hex7e860885

2122713221 has 2 divisors, whose sum is σ = 2122713222. Its totient is φ = 2122713220.

The previous prime is 2122713169. The next prime is 2122713227. The reversal of 2122713221 is 1223172212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1649172100 + 473541121 = 40610^2 + 21761^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122713221 - 218 = 2122451077 is a prime.

It is a super-2 number, since 2×21227132212 = 9011822837216389682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122713227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061356610 + 1061356611.

It is an arithmetic number, because the mean of its divisors is an integer number (1061356611).

Almost surely, 22122713221 is an apocalyptic number.

It is an amenable number.

2122713221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122713221 is an equidigital number, since it uses as much as digits as its factorization.

2122713221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 23.

The square root of 2122713221 is about 46072.9120091188. The cubic root of 2122713221 is about 1285.1794570384.

Adding to 2122713221 its reverse (1223172212), we get a palindrome (3345885433).

The spelling of 2122713221 in words is "two billion, one hundred twenty-two million, seven hundred thirteen thousand, two hundred twenty-one".