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211012210093 is a prime number
BaseRepresentation
bin1100010010000101001…
…1101100110110101101
3202011122210200220211111
43010201103230312231
511424123111210333
6240534311552021
721150036122536
oct3044123546655
9664583626744
10211012210093
1181542989683
1234a8b68b611
1316b8a930319
14a2da84d68d
1557501264cd
hex31214ecdad

211012210093 has 2 divisors, whose sum is σ = 211012210094. Its totient is φ = 211012210092.

The previous prime is 211012210061. The next prime is 211012210127. The reversal of 211012210093 is 390012210112.

211012210093 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., 165931578409 + 45080631684 = 407347^2 + 212322^2 .

It is a cyclic number.

It is not a de Polignac number, because 211012210093 - 25 = 211012210061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211012210043) 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, 105506105046 + 105506105047.

It is an arithmetic number, because the mean of its divisors is an integer number (105506105047).

Almost surely, 2211012210093 is an apocalyptic number.

It is an amenable number.

211012210093 is a deficient number, since it is larger than the sum of its proper divisors (1).

211012210093 is an equidigital number, since it uses as much as digits as its factorization.

211012210093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 211012210093 in words is "two hundred eleven billion, twelve million, two hundred ten thousand, ninety-three".