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10110013221 = 3711192303489
BaseRepresentation
bin10010110101001101…
…01000111100100101
3222002120202212220010
421122212220330211
5131201130410341
64351112400433
7505351460130
oct113246507445
928076685803
1010110013221
114318925630
121b619a6119
13c51728859
146bc9dd217
153e288e716
hex25a9a8f25

10110013221 has 32 divisors (see below), whose sum is σ = 17690803200. Its totient is φ = 4975534080.

The previous prime is 10110013217. The next prime is 10110013247. The reversal of 10110013221 is 12231001101.

10110013221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10110013221 - 22 = 10110013217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10110013197 and 10110013206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110013211) 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 in 31 ways as a sum of consecutive naturals, for example, 1147356 + ... + 1156133.

It is an arithmetic number, because the mean of its divisors is an integer number (552837600).

Almost surely, 210110013221 is an apocalyptic number.

10110013221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110013221 is a deficient number, since it is larger than the sum of its proper divisors (7580789979).

10110013221 is a wasteful number, since it uses less digits than its factorization.

10110013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303529.

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

Adding to 10110013221 its reverse (12231001101), we get a palindrome (22341014322).

The spelling of 10110013221 in words is "ten billion, one hundred ten million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 2303489 6910467 16124423 25338379 43766291 48373269 76015137 131298873 177368653 306364037 481429201 532105959 919092111 1444287603 3370004407 10110013221