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2122203121 is a prime number
BaseRepresentation
bin111111001111110…
…0011111111110001
312110220022002101121
41332133203333301
513321240444441
6550330102241
7103406300053
oct17637437761
95426262347
102122203121
11999a23685
124b287a981
1327a892cbc
14161bc98d3
15c64a0dd1
hex7e7e3ff1

2122203121 has 2 divisors, whose sum is σ = 2122203122. Its totient is φ = 2122203120.

The previous prime is 2122203089. The next prime is 2122203163. The reversal of 2122203121 is 1213022212.

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., 1218359025 + 903844096 = 34905^2 + 30064^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122203121 - 25 = 2122203089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122203095 and 2122203104.

It is not a weakly prime, because it can be changed into another prime (2122203821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061101560 + 1061101561.

It is an arithmetic number, because the mean of its divisors is an integer number (1061101561).

Almost surely, 22122203121 is an apocalyptic number.

It is an amenable number.

2122203121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122203121 is an equidigital number, since it uses as much as digits as its factorization.

2122203121 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2122203121 is about 46067.3758857611. The cubic root of 2122203121 is about 1285.0765034923.

Adding to 2122203121 its reverse (1213022212), we get a palindrome (3335225333).

The spelling of 2122203121 in words is "two billion, one hundred twenty-two million, two hundred three thousand, one hundred twenty-one".