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10221000013 = 72677939409
BaseRepresentation
bin10011000010011100…
…00001010101001101
3222101022121121011001
421201032001111031
5131413034000023
64410115300301
7511200031600
oct114116012515
928338547131
1010221000013
114375540654
121b92baa691
13c6b718103
146cd650337
153ec4b46ad
hex26138154d

10221000013 has 24 divisors (see below), whose sum is σ = 12220252800. Its totient is φ = 8520640128.

The previous prime is 10221000001. The next prime is 10221000019. The reversal of 10221000013 is 31000012201.

It is not a de Polignac number, because 10221000013 - 233 = 1631065421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221000019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239653 + ... + 279061.

It is an arithmetic number, because the mean of its divisors is an integer number (509177200).

Almost surely, 210221000013 is an apocalyptic number.

It is an amenable number.

10221000013 is a deficient number, since it is larger than the sum of its proper divisors (1999252787).

10221000013 is an equidigital number, since it uses as much as digits as its factorization.

10221000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39569 (or 39562 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10221000013 its reverse (31000012201), we get a palindrome (41221012214).

The spelling of 10221000013 in words is "ten billion, two hundred twenty-one million, thirteen", and thus it is an aban number.

Divisors: 1 7 49 67 79 469 553 3283 3871 5293 37051 39409 259357 275863 1931041 2640403 3113311 18482821 21793177 129379747 152552239 208591837 1460142859 10221000013