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10123202213 is a prime number
BaseRepresentation
bin10010110110110001…
…11100111010100101
3222010111120221210022
421123120330322211
5131213014432323
64352303204525
7505601541035
oct113330747245
928114527708
1010123202213
114325313723
121b662a6745
13c54395aa7
146c06738c5
153e3ae74c8
hex25b63cea5

10123202213 has 2 divisors, whose sum is σ = 10123202214. Its totient is φ = 10123202212.

The previous prime is 10123202191. The next prime is 10123202239. The reversal of 10123202213 is 31220232101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9273304804 + 849897409 = 96298^2 + 29153^2 .

It is an emirp because it is prime and its reverse (31220232101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10123202213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10123202191 and 10123202200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123202263) 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, 5061601106 + 5061601107.

It is an arithmetic number, because the mean of its divisors is an integer number (5061601107).

Almost surely, 210123202213 is an apocalyptic number.

It is an amenable number.

10123202213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123202213 is an equidigital number, since it uses as much as digits as its factorization.

10123202213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10123202213 its reverse (31220232101), we get a palindrome (41343434314).

The spelling of 10123202213 in words is "ten billion, one hundred twenty-three million, two hundred two thousand, two hundred thirteen".