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2211000202013 is a prime number
BaseRepresentation
bin100000001011001001111…
…000011011001100011101
321211100222101221200210212
4200023021320123030131
5242211112022431023
64411415223342205
7315511434425621
oct40131170331435
97740871850725
102211000202013
11782752a78629
122b860b5b1965
1313065b84bb05
1479027895181
153c7a7030e78
hex202c9e1b31d

2211000202013 has 2 divisors, whose sum is σ = 2211000202014. Its totient is φ = 2211000202012.

The previous prime is 2211000201989. The next prime is 2211000202031. The reversal of 2211000202013 is 3102020001122.

It is a happy number.

Together with next prime (2211000202031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1542298223449 + 668701978564 = 1241893^2 + 817742^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211000202013 - 214 = 2211000185629 is a prime.

It is a super-3 number, since 3×22110002020133 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211000202513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105500101006 + 1105500101007.

It is an arithmetic number, because the mean of its divisors is an integer number (1105500101007).

Almost surely, 22211000202013 is an apocalyptic number.

It is an amenable number.

2211000202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211000202013 is an equidigital number, since it uses as much as digits as its factorization.

2211000202013 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 14.

Adding to 2211000202013 its reverse (3102020001122), we get a palindrome (5313020203135).

The spelling of 2211000202013 in words is "two trillion, two hundred eleven billion, two hundred two thousand, thirteen".