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2211211101133 is a prime number
BaseRepresentation
bin100000001011010110011…
…100111100001111001101
321211101112002210111000101
4200023112130330033031
5242212030020214013
64411452155531101
7315516605146066
oct40132634741715
97741462714011
102211211101133
11782851025221
122b866a159a91
13130693450ca8
14790478b356d
153c7ba7de8dd
hex202d673c3cd

2211211101133 has 2 divisors, whose sum is σ = 2211211101134. Its totient is φ = 2211211101132.

The previous prime is 2211211101109. The next prime is 2211211101257. The reversal of 2211211101133 is 3311011121122.

2211211101133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2043718990569 + 167492110564 = 1429587^2 + 409258^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2211211101133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2211211101133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2211211101833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105605550566 + 1105605550567.

It is an arithmetic number, because the mean of its divisors is an integer number (1105605550567).

Almost surely, 22211211101133 is an apocalyptic number.

It is an amenable number.

2211211101133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211211101133 is an equidigital number, since it uses as much as digits as its factorization.

2211211101133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 2211211101133 its reverse (3311011121122), we get a palindrome (5522222222255).

The spelling of 2211211101133 in words is "two trillion, two hundred eleven billion, two hundred eleven million, one hundred one thousand, one hundred thirty-three".