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213122022133 is a prime number
BaseRepresentation
bin1100011001111100001…
…1111111101011110101
3202101002211200110212011
43012133003333223311
511442433214202013
6241523520324221
721253235204206
oct3063703775365
9671084613764
10213122022133
1182425909699
123537a173671
1317135a75307
14a45ab315ad
15582547ac3d
hex319f0ffaf5

213122022133 has 2 divisors, whose sum is σ = 213122022134. Its totient is φ = 213122022132.

The previous prime is 213122022037. The next prime is 213122022167. The reversal of 213122022133 is 331220221312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212638110129 + 483912004 = 461127^2 + 21998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213122022133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122022173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561011066 + 106561011067.

It is an arithmetic number, because the mean of its divisors is an integer number (106561011067).

Almost surely, 2213122022133 is an apocalyptic number.

It is an amenable number.

213122022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122022133 is an equidigital number, since it uses as much as digits as its factorization.

213122022133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213122022133 its reverse (331220221312), we get a palindrome (544342243445).

The spelling of 213122022133 in words is "two hundred thirteen billion, one hundred twenty-two million, twenty-two thousand, one hundred thirty-three".