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10212310093 is a prime number
BaseRepresentation
bin10011000001011001…
…10111110001001101
3222100201021002211011
421200230313301031
5131403322410333
64405205125221
7511033126546
oct114054676115
928321232734
1010212310093
1143706457a7
121b900b9811
13c6999494b
146cc42b4cd
153eb8499cd
hex260b37c4d

10212310093 has 2 divisors, whose sum is σ = 10212310094. Its totient is φ = 10212310092.

The previous prime is 10212310027. The next prime is 10212310103. The reversal of 10212310093 is 39001321201.

10212310093 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9908609764 + 303700329 = 99542^2 + 17427^2 .

It is an emirp because it is prime and its reverse (39001321201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10212310093 - 213 = 10212301901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212313093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106155046 + 5106155047.

It is an arithmetic number, because the mean of its divisors is an integer number (5106155047).

Almost surely, 210212310093 is an apocalyptic number.

It is an amenable number.

10212310093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212310093 is an equidigital number, since it uses as much as digits as its factorization.

10212310093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10212310093 its reverse (39001321201), we get a palindrome (49213631294).

The spelling of 10212310093 in words is "ten billion, two hundred twelve million, three hundred ten thousand, ninety-three".