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202212021133 is a prime number
BaseRepresentation
bin1011110001010011000…
…1101001001110001101
3201022221111121000001001
42330110301221032031
511303112234134013
6232521145220301
720416000551133
oct2742461511615
9638844530031
10202212021133
1178837461441
1233234491691
13160b769c315
149b03bab753
1553d7767ddd
hex2f14c6938d

202212021133 has 2 divisors, whose sum is σ = 202212021134. Its totient is φ = 202212021132.

The previous prime is 202212021131. The next prime is 202212021203. The reversal of 202212021133 is 331120212202.

202212021133 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., 165293472969 + 36918548164 = 406563^2 + 192142^2 .

It is a cyclic number.

It is not a de Polignac number, because 202212021133 - 21 = 202212021131 is a prime.

Together with 202212021131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 202212021133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202212021131) 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, 101106010566 + 101106010567.

It is an arithmetic number, because the mean of its divisors is an integer number (101106010567).

Almost surely, 2202212021133 is an apocalyptic number.

It is an amenable number.

202212021133 is a deficient number, since it is larger than the sum of its proper divisors (1).

202212021133 is an equidigital number, since it uses as much as digits as its factorization.

202212021133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 202212021133 its reverse (331120212202), we get a palindrome (533332233335).

The spelling of 202212021133 in words is "two hundred two billion, two hundred twelve million, twenty-one thousand, one hundred thirty-three".