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10217216135 = 572311134093
BaseRepresentation
bin10011000001111111…
…00101100010000111
3222101001111100122102
421200333211202013
5131411101404020
64405502222315
7511122622100
oct114077454207
928331440572
1010217216135
114373396785
121b9188499b
13c6a9c1a29
146ccd473a7
153ebeb8475
hex260fe5887

10217216135 has 24 divisors (see below), whose sum is σ = 14308366176. Its totient is φ = 6983511360.

The previous prime is 10217216099. The next prime is 10217216173. The reversal of 10217216135 is 53161271201.

10217216135 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 10217216135 - 210 = 10217215111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10217216098 and 10217216107.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9149 + ... + 143241.

It is an arithmetic number, because the mean of its divisors is an integer number (596181924).

Almost surely, 210217216135 is an apocalyptic number.

10217216135 is a deficient number, since it is larger than the sum of its proper divisors (4091150041).

10217216135 is a wasteful number, since it uses less digits than its factorization.

10217216135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134423 (or 134416 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

Adding to 10217216135 its reverse (53161271201), we get a palindrome (63378487336).

The spelling of 10217216135 in words is "ten billion, two hundred seventeen million, two hundred sixteen thousand, one hundred thirty-five".

Divisors: 1 5 7 35 49 245 311 1555 2177 10885 15239 76195 134093 670465 938651 4693255 6570557 32852785 41702923 208514615 291920461 1459602305 2043443227 10217216135