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212132211301 is a prime number
BaseRepresentation
bin1100010110010000010…
…0001010101001100101
3202021112212011212122201
43011210010022221211
511433421321230201
6241241401254501
721216556021303
oct3054404125145
9667485155581
10212132211301
1181a6811510a
1235142794431
1317008994b2a
14a3a54b7273
1557b860d801
hex316410aa65

212132211301 has 2 divisors, whose sum is σ = 212132211302. Its totient is φ = 212132211300.

The previous prime is 212132211299. The next prime is 212132211311. The reversal of 212132211301 is 103112231212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168755818401 + 43376392900 = 410799^2 + 208270^2 .

It is a cyclic number.

It is not a de Polignac number, because 212132211301 - 21 = 212132211299 is a prime.

It is a super-2 number, since 2×2121322113012 (a number of 23 digits) contains 22 as substring.

Together with 212132211299, 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 (212132211311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066105650 + 106066105651.

It is an arithmetic number, because the mean of its divisors is an integer number (106066105651).

Almost surely, 2212132211301 is an apocalyptic number.

It is an amenable number.

212132211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

212132211301 is an equidigital number, since it uses as much as digits as its factorization.

212132211301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212132211301 its reverse (103112231212), we get a palindrome (315244442513).

The spelling of 212132211301 in words is "two hundred twelve billion, one hundred thirty-two million, two hundred eleven thousand, three hundred one".