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212253126013 is a prime number
BaseRepresentation
bin1100010110101101000…
…1011010110101111101
3202021212021200222110101
43011223101122311331
511434143300013023
6241301401041101
721222554542315
oct3055321326575
9667767628411
10212253126013
118201a3a1125
1235177186191
1317027a4c1b6
14a3b7590445
1557c40451ad
hex316b45ad7d

212253126013 has 2 divisors, whose sum is σ = 212253126014. Its totient is φ = 212253126012.

The previous prime is 212253126011. The next prime is 212253126047. The reversal of 212253126013 is 310621352212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206440283449 + 5812842564 = 454357^2 + 76242^2 .

It is a cyclic number.

It is not a de Polignac number, because 212253126013 - 21 = 212253126011 is a prime.

Together with 212253126011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212253126011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106126563006 + 106126563007.

It is an arithmetic number, because the mean of its divisors is an integer number (106126563007).

Almost surely, 2212253126013 is an apocalyptic number.

It is an amenable number.

212253126013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212253126013 is an equidigital number, since it uses as much as digits as its factorization.

212253126013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 212253126013 its reverse (310621352212), we get a palindrome (522874478225).

The spelling of 212253126013 in words is "two hundred twelve billion, two hundred fifty-three million, one hundred twenty-six thousand, thirteen".