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212201313253 is a prime number
BaseRepresentation
bin1100010110100000101…
…1110001001111100101
3202021201200012121201021
43011220023301033211
511434042014011003
6241252310331141
721221355254566
oct3055013611745
9667650177637
10212201313253
1181aa3122466
1235161959ab1
131701a0aa967
14a3b074416d
1557be70d2bd
hex31682f13e5

212201313253 has 2 divisors, whose sum is σ = 212201313254. Its totient is φ = 212201313252.

The previous prime is 212201313157. The next prime is 212201313283. The reversal of 212201313253 is 352313102212.

212201313253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116941429089 + 95259884164 = 341967^2 + 308642^2 .

It is a cyclic number.

It is not a de Polignac number, because 212201313253 - 221 = 212199216101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212201313283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106100656626 + 106100656627.

It is an arithmetic number, because the mean of its divisors is an integer number (106100656627).

Almost surely, 2212201313253 is an apocalyptic number.

It is an amenable number.

212201313253 is a deficient number, since it is larger than the sum of its proper divisors (1).

212201313253 is an equidigital number, since it uses as much as digits as its factorization.

212201313253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 212201313253 its reverse (352313102212), we get a palindrome (564514415465).

The spelling of 212201313253 in words is "two hundred twelve billion, two hundred one million, three hundred thirteen thousand, two hundred fifty-three".