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10100300213 is a prime number
BaseRepresentation
bin10010110100000011…
…00101100110110101
3222001220111102011002
421122001211212311
5131141134101323
64350124253045
7505203064253
oct113201454665
928056442132
1010100300213
1143133a1053
121b5a6a1185
13c4c707803
146bb5d15d3
153e1ac1828
hex25a0659b5

10100300213 has 2 divisors, whose sum is σ = 10100300214. Its totient is φ = 10100300212.

The previous prime is 10100300173. The next prime is 10100300233. The reversal of 10100300213 is 31200300101.

10100300213 is digitally balanced in base 3, 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., 9953454289 + 146845924 = 99767^2 + 12118^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100300213 - 26 = 10100300149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100300194 and 10100300203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100300233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050150106 + 5050150107.

It is an arithmetic number, because the mean of its divisors is an integer number (5050150107).

Almost surely, 210100300213 is an apocalyptic number.

It is an amenable number.

10100300213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100300213 is an equidigital number, since it uses as much as digits as its factorization.

10100300213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10100300213 its reverse (31200300101), we get a palindrome (41300600314).

The spelling of 10100300213 in words is "ten billion, one hundred million, three hundred thousand, two hundred thirteen".