Search a number
-
+
212321211101 is a prime number
BaseRepresentation
bin1100010110111101010…
…1001001001011011101
3202022001000211001122022
43011233111021023131
511434313212223401
6241312232225525
721224342342156
oct3055725111335
9668030731568
10212321211101
118205487449a
1235195b3b2a5
1317038b9a22c
14a3c263492d
1557c9ee371b
hex316f5492dd

212321211101 has 2 divisors, whose sum is σ = 212321211102. Its totient is φ = 212321211100.

The previous prime is 212321210971. The next prime is 212321211143. The reversal of 212321211101 is 101112123212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192042027076 + 20279184025 = 438226^2 + 142405^2 .

It is a cyclic number.

It is not a de Polignac number, because 212321211101 - 210 = 212321210077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212321211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212321211701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106160605550 + 106160605551.

It is an arithmetic number, because the mean of its divisors is an integer number (106160605551).

Almost surely, 2212321211101 is an apocalyptic number.

It is an amenable number.

212321211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212321211101 is an equidigital number, since it uses as much as digits as its factorization.

212321211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 212321211101 its reverse (101112123212), we get a palindrome (313433334313).

The spelling of 212321211101 in words is "two hundred twelve billion, three hundred twenty-one million, two hundred eleven thousand, one hundred one".