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10223220013 is a prime number
BaseRepresentation
bin10011000010101100…
…11111010100101101
3222101110210101102021
421201112133110231
5131414121020023
64410235030141
7511224636106
oct114126372455
928343711367
1010223220013
114376817566
121b9389b351
13c6c014716
146cda6b3ad
153ec7a235d
hex26159f52d

10223220013 has 2 divisors, whose sum is σ = 10223220014. Its totient is φ = 10223220012.

The previous prime is 10223220001. The next prime is 10223220061. The reversal of 10223220013 is 31002232201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10036433124 + 186786889 = 100182^2 + 13667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10223220013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10223220913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111610006 + 5111610007.

It is an arithmetic number, because the mean of its divisors is an integer number (5111610007).

Almost surely, 210223220013 is an apocalyptic number.

It is an amenable number.

10223220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223220013 is an equidigital number, since it uses as much as digits as its factorization.

10223220013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10223220013 its reverse (31002232201), we get a palindrome (41225452214).

The spelling of 10223220013 in words is "ten billion, two hundred twenty-three million, two hundred twenty thousand, thirteen".