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211220200993 is a prime number
BaseRepresentation
bin1100010010110110110…
…1000111111000100001
3202012012022001221201011
43010231231013320201
511430034332412433
6241011101540521
721155143041154
oct3045555077041
9665168057634
10211220200993
118163a32a28a
1234b29274741
1316bc1a54869
14a31a311c9b
15576350d3cd
hex312db47e21

211220200993 has 2 divisors, whose sum is σ = 211220200994. Its totient is φ = 211220200992.

The previous prime is 211220200987. The next prime is 211220201033. The reversal of 211220200993 is 399002022112.

211220200993 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., 174349672704 + 36870528289 = 417552^2 + 192017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211220200993 is a prime.

It is a super-2 number, since 2×2112202009932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211220200913) 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, 105610100496 + 105610100497.

It is an arithmetic number, because the mean of its divisors is an integer number (105610100497).

Almost surely, 2211220200993 is an apocalyptic number.

It is an amenable number.

211220200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

211220200993 is an equidigital number, since it uses as much as digits as its factorization.

211220200993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 211220200993 in words is "two hundred eleven billion, two hundred twenty million, two hundred thousand, nine hundred ninety-three".