Search a number
-
+
212202121253 is a prime number
BaseRepresentation
bin1100010110100000111…
…0110110100000100101
3202021201201201200002012
43011220032312200211
511434042220340003
6241252335524005
721221365161353
oct3055016664045
9667651650065
10212202121253
1181aa3624531
1235162089605
131701a301675
14a3b08b47d3
1557be81c8d8
hex31683b6825

212202121253 has 2 divisors, whose sum is σ = 212202121254. Its totient is φ = 212202121252.

The previous prime is 212202121177. The next prime is 212202121267. The reversal of 212202121253 is 352121202212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170930979844 + 41271141409 = 413438^2 + 203153^2 .

It is a cyclic number.

It is not a de Polignac number, because 212202121253 - 28 = 212202120997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212202120253) 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, 106101060626 + 106101060627.

It is an arithmetic number, because the mean of its divisors is an integer number (106101060627).

Almost surely, 2212202121253 is an apocalyptic number.

It is an amenable number.

212202121253 is a deficient number, since it is larger than the sum of its proper divisors (1).

212202121253 is an equidigital number, since it uses as much as digits as its factorization.

212202121253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 212202121253 its reverse (352121202212), we get a palindrome (564323323465).

The spelling of 212202121253 in words is "two hundred twelve billion, two hundred two million, one hundred twenty-one thousand, two hundred fifty-three".