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2122033217 is a prime number
BaseRepresentation
bin111111001111011…
…1010100001000001
312110212222110022212
41332132322201001
513321220030332
6550322311505
7103404661523
oct17636724101
95425873285
102122033217
11999917a67
124b27b8595
1327a833875
14161b83a13
15c646a8b2
hex7e7ba841

2122033217 has 2 divisors, whose sum is σ = 2122033218. Its totient is φ = 2122033216.

The previous prime is 2122033201. The next prime is 2122033223. The reversal of 2122033217 is 7123302212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1431184561 + 690848656 = 37831^2 + 26284^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122033217 - 24 = 2122033201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122033192 and 2122033201.

It is not a weakly prime, because it can be changed into another prime (2122033247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061016608 + 1061016609.

It is an arithmetic number, because the mean of its divisors is an integer number (1061016609).

Almost surely, 22122033217 is an apocalyptic number.

It is an amenable number.

2122033217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122033217 is an equidigital number, since it uses as much as digits as its factorization.

2122033217 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 23.

The square root of 2122033217 is about 46065.5317672552. The cubic root of 2122033217 is about 1285.0422080843.

Adding to 2122033217 its reverse (7123302212), we get a palindrome (9245335429).

The spelling of 2122033217 in words is "two billion, one hundred twenty-two million, thirty-three thousand, two hundred seventeen".