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10212200093 is a prime number
BaseRepresentation
bin10011000001011000…
…11100111010011101
3222100201001111221002
421200230130322131
5131403310400333
64405202520045
7511032161054
oct114054347235
928321044832
1010212200093
114370580097
121b90066025
13c69956864
146cc3dd39b
153eb8270e8
hex260b1ce9d

10212200093 has 2 divisors, whose sum is σ = 10212200094. Its totient is φ = 10212200092.

The previous prime is 10212200029. The next prime is 10212200107. The reversal of 10212200093 is 39000221201.

10212200093 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., 7579791844 + 2632408249 = 87062^2 + 51307^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212200093 - 26 = 10212200029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212200003) 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, 5106100046 + 5106100047.

It is an arithmetic number, because the mean of its divisors is an integer number (5106100047).

Almost surely, 210212200093 is an apocalyptic number.

It is an amenable number.

10212200093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212200093 is an equidigital number, since it uses as much as digits as its factorization.

10212200093 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 20.

Adding to 10212200093 its reverse (39000221201), we get a palindrome (49212421294).

The spelling of 10212200093 in words is "ten billion, two hundred twelve million, two hundred thousand, ninety-three".