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10221110013 = 3113132722721
BaseRepresentation
bin10011000010011100…
…11100001011111101
3222101022211012001010
421201032130023331
5131413101010023
64410121505433
7511201000362
oct114116341375
928338735033
1010221110013
114375606264
121b93042279
13c6b7561ba
146cd67c469
153ec4d7093
hex26139c2fd

10221110013 has 16 divisors (see below), whose sum is σ = 13759716096. Its totient is φ = 6748385280.

The previous prime is 10221109999. The next prime is 10221110063. The reversal of 10221110013 is 31001112201.

10221110013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221110013 - 28 = 10221109757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221110063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438493 + ... + 461213.

It is an arithmetic number, because the mean of its divisors is an integer number (859982256).

Almost surely, 210221110013 is an apocalyptic number.

It is an amenable number.

10221110013 is a deficient number, since it is larger than the sum of its proper divisors (3538606083).

10221110013 is a wasteful number, since it uses less digits than its factorization.

10221110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24164.

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

Adding to 10221110013 its reverse (31001112201), we get a palindrome (41222222214).

The spelling of 10221110013 in words is "ten billion, two hundred twenty-one million, one hundred ten thousand, thirteen".

Divisors: 1 3 113 339 1327 3981 22721 68163 149951 449853 2567473 7702419 30150767 90452301 3407036671 10221110013