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212140413301 is a prime number
BaseRepresentation
bin1100010110010010001…
…1011101000101110101
3202021120102121120200111
43011210203131011311
511433430421211201
6241242253143021
721220015521655
oct3054443350565
9667512546614
10212140413301
1181a71807423
123514548aa71
131700a5a719b
14a3a6610365
1557b91cdb51
hex31648dd175

212140413301 has 2 divisors, whose sum is σ = 212140413302. Its totient is φ = 212140413300.

The previous prime is 212140413299. The next prime is 212140413319. The reversal of 212140413301 is 103314041212.

212140413301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211945140625 + 195272676 = 460375^2 + 13974^2 .

It is a cyclic number.

It is not a de Polignac number, because 212140413301 - 21 = 212140413299 is a prime.

Together with 212140413299, 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 (212140413601) 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, 106070206650 + 106070206651.

It is an arithmetic number, because the mean of its divisors is an integer number (106070206651).

Almost surely, 2212140413301 is an apocalyptic number.

It is an amenable number.

212140413301 is a deficient number, since it is larger than the sum of its proper divisors (1).

212140413301 is an equidigital number, since it uses as much as digits as its factorization.

212140413301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 212140413301 its reverse (103314041212), we get a palindrome (315454454513).

The spelling of 212140413301 in words is "two hundred twelve billion, one hundred forty million, four hundred thirteen thousand, three hundred one".