Search a number
-
+
212111209757 is a prime number
BaseRepresentation
bin1100010110001011010…
…0000011010100011101
3202021111101122212221202
43011202310003110131
511433400432203012
6241235331205245
721216212351306
oct3054264032435
9667441585852
10212111209757
1181a57280367
1235137746825
1317004520895
14a3a27ab7ad
1557b6860cc2
hex3162d0351d

212111209757 has 2 divisors, whose sum is σ = 212111209758. Its totient is φ = 212111209756.

The previous prime is 212111209747. The next prime is 212111209769. The reversal of 212111209757 is 757902111212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114280506916 + 97830702841 = 338054^2 + 312779^2 .

It is a cyclic number.

It is not a de Polignac number, because 212111209757 - 214 = 212111193373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212111209757.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212111209747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055604878 + 106055604879.

It is an arithmetic number, because the mean of its divisors is an integer number (106055604879).

Almost surely, 2212111209757 is an apocalyptic number.

It is an amenable number.

212111209757 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111209757 is an equidigital number, since it uses as much as digits as its factorization.

212111209757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 38.

The spelling of 212111209757 in words is "two hundred twelve billion, one hundred eleven million, two hundred nine thousand, seven hundred fifty-seven".