Search a number
-
+
211202221000021 is a prime number
BaseRepresentation
bin110000000001011001011001…
…010110111100010101010101
31000200210201211220202220122021
4300001121121112330111111
5210140314122034000041
62025104543314533141
762325566631606646
oct6001313126742525
91020721756686567
10211202221000021
11613283a47a6669
121b8304a45971b1
1390b038cba70a4
143a223562236cd
151963cc3b86cd1
hexc016595bc555

211202221000021 has 2 divisors, whose sum is σ = 211202221000022. Its totient is φ = 211202221000020.

The previous prime is 211202221000019. The next prime is 211202221000049. The reversal of 211202221000021 is 120000122202112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158841280400625 + 52360940599396 = 12603225^2 + 7236086^2 .

It is a cyclic number.

It is not a de Polignac number, because 211202221000021 - 21 = 211202221000019 is a prime.

It is a super-2 number, since 2×2112022210000212 (a number of 29 digits) contains 22 as substring.

Together with 211202221000019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 211202220999959 and 211202221000004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211202221000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105601110500010 + 105601110500011.

It is an arithmetic number, because the mean of its divisors is an integer number (105601110500011).

Almost surely, 2211202221000021 is an apocalyptic number.

It is an amenable number.

211202221000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

211202221000021 is an equidigital number, since it uses as much as digits as its factorization.

211202221000021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211202221000021 its reverse (120000122202112), we get a palindrome (331202343202133).

The spelling of 211202221000021 in words is "two hundred eleven trillion, two hundred two billion, two hundred twenty-one million, twenty-one", and thus it is an aban number.