Search a number
-
+
202212222225121 is a prime number
BaseRepresentation
bin101101111110100100110011…
…101011001100101011100001
3222111222022002110000221221101
4231332210303223030223201
5203001021112342200441
61554023002405154401
760410231242055143
oct5576446353145341
9874868073027841
10202212222225121
11594817a3869a29
121a81a1000bba01
1388aa6b9043394
1437d11a38dcc93
15185a00d50b231
hexb7e933accae1

202212222225121 has 2 divisors, whose sum is σ = 202212222225122. Its totient is φ = 202212222225120.

The previous prime is 202212222225119. The next prime is 202212222225157. The reversal of 202212222225121 is 121522222212202.

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., 107124156006400 + 95088066218721 = 10350080^2 + 9751311^2 .

It is a cyclic number.

It is not a de Polignac number, because 202212222225121 - 21 = 202212222225119 is a prime.

Together with 202212222225119, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 202212222225121.

It is not a weakly prime, because it can be changed into another prime (202212222225161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101106111112560 + 101106111112561.

It is an arithmetic number, because the mean of its divisors is an integer number (101106111112561).

Almost surely, 2202212222225121 is an apocalyptic number.

It is an amenable number.

202212222225121 is a deficient number, since it is larger than the sum of its proper divisors (1).

202212222225121 is an equidigital number, since it uses as much as digits as its factorization.

202212222225121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 202212222225121 its reverse (121522222212202), we get a palindrome (323734444437323).

The spelling of 202212222225121 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twenty-five thousand, one hundred twenty-one".