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10102223213 is a prime number
BaseRepresentation
bin10010110100010001…
…11011000101101101
3222002001010010000022
421122020323011231
5131142132120323
64350233411525
7505225323545
oct113210730555
928061103008
1010102223213
114314494905
121b5b269ba5
13c4cc2bb94
146bb972325
153e1d514c8
hex25a23b16d

10102223213 has 2 divisors, whose sum is σ = 10102223214. Its totient is φ = 10102223212.

The previous prime is 10102223149. The next prime is 10102223233. The reversal of 10102223213 is 31232220101.

10102223213 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., 8793375529 + 1308847684 = 93773^2 + 36178^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102223213 - 26 = 10102223149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102223191 and 10102223200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102223233) 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, 5051111606 + 5051111607.

It is an arithmetic number, because the mean of its divisors is an integer number (5051111607).

Almost surely, 210102223213 is an apocalyptic number.

It is an amenable number.

10102223213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102223213 is an equidigital number, since it uses as much as digits as its factorization.

10102223213 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 10102223213 its reverse (31232220101), we get a palindrome (41334443314).

The spelling of 10102223213 in words is "ten billion, one hundred two million, two hundred twenty-three thousand, two hundred thirteen".