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10110010221 = 341131104557
BaseRepresentation
bin10010110101001101…
…01000001101101101
3222002120202201210000
421122212220031231
5131201130311341
64351112334513
7505351445313
oct113246501555
928076681700
1010110010221
114318923353
121b619a4439
13c5172738c
146bc9dc0b3
153e288d8b6
hex25a9a836d

10110010221 has 20 divisors (see below), whose sum is σ = 15236273052. Its totient is φ = 6680354688.

The previous prime is 10110010201. The next prime is 10110010223. The reversal of 10110010221 is 12201001101.

It is a happy number.

10110010221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 360620100 + 9749390121 = 18990^2 + 98739^2 .

It is not a de Polignac number, because 10110010221 - 29 = 10110009709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110010223) 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 19 ways as a sum of consecutive naturals, for example, 543126 + ... + 561431.

Almost surely, 210110010221 is an apocalyptic number.

It is an amenable number.

10110010221 is a deficient number, since it is larger than the sum of its proper divisors (5126262831).

10110010221 is a wasteful number, since it uses less digits than its factorization.

10110010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104682 (or 1104673 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110010221 its reverse (12201001101), we get a palindrome (22311011322).

The spelling of 10110010221 in words is "ten billion, one hundred ten million, ten thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 113 339 1017 3051 9153 1104557 3313671 9941013 29823039 89469117 124814941 374444823 1123334469 3370003407 10110010221