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10130002213 is a prime number
BaseRepresentation
bin10010110111100101…
…11001000100100101
3222010222101102122011
421123302321010211
5131221240032323
64353105034221
7506013412102
oct113362710445
928128342564
1010130002213
114329138661
121b68625971
13c55906c66
146c1523aa9
153e44dc20d
hex25bcb9125

10130002213 has 2 divisors, whose sum is σ = 10130002214. Its totient is φ = 10130002212.

The previous prime is 10130002163. The next prime is 10130002229. The reversal of 10130002213 is 31220003101.

10130002213 is digitally balanced in base 2, because in such base 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., 9863071969 + 266930244 = 99313^2 + 16338^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10130002213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10130002193 and 10130002202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10130002273) 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, 5065001106 + 5065001107.

It is an arithmetic number, because the mean of its divisors is an integer number (5065001107).

Almost surely, 210130002213 is an apocalyptic number.

It is an amenable number.

10130002213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130002213 is an equidigital number, since it uses as much as digits as its factorization.

10130002213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10130002213 its reverse (31220003101), we get a palindrome (41350005314).

The spelling of 10130002213 in words is "ten billion, one hundred thirty million, two thousand, two hundred thirteen".