Search a number
-
+
212011211101 is a prime number
BaseRepresentation
bin1100010101110011011…
…0100101100101011101
3202021020102111102120211
43011130312211211131
511433144332223401
6241221400012421
721213556363114
oct3053466454535
9667212442524
10212011211101
1181a0588a948
123510a161111
1316cb98aa891
14a3933bac7b
1557acbab951
hex315cda595d

212011211101 has 2 divisors, whose sum is σ = 212011211102. Its totient is φ = 212011211100.

The previous prime is 212011211017. The next prime is 212011211123. The reversal of 212011211101 is 101112110212.

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., 181412105625 + 30599105476 = 425925^2 + 174926^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212011211101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212011211171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005605550 + 106005605551.

It is an arithmetic number, because the mean of its divisors is an integer number (106005605551).

Almost surely, 2212011211101 is an apocalyptic number.

It is an amenable number.

212011211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011211101 is an equidigital number, since it uses as much as digits as its factorization.

212011211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212011211101 its reverse (101112110212), we get a palindrome (313123321313).

The spelling of 212011211101 in words is "two hundred twelve billion, eleven million, two hundred eleven thousand, one hundred one".