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10201313223 = 3261127714551
BaseRepresentation
bin10011000000000101…
…11010111111000111
3222022221120101221200
421200002322333013
5131343014010343
64404133313543
7510540505653
oct114002727707
928287511850
1010201313223
114365414682
121b884958b3
13c6761441a
146caba7a63
153ea8c64d3
hex2600bafc7

10201313223 has 24 divisors (see below), whose sum is σ = 14989549536. Its totient is φ = 6683688000.

The previous prime is 10201313219. The next prime is 10201313321. The reversal of 10201313223 is 32231310201.

10201313223 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 10201313223 - 22 = 10201313219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201313196 and 10201313205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201313723) 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 23 ways as a sum of consecutive naturals, for example, 693798 + ... + 708348.

It is an arithmetic number, because the mean of its divisors is an integer number (624564564).

Almost surely, 210201313223 is an apocalyptic number.

10201313223 is a deficient number, since it is larger than the sum of its proper divisors (4788236313).

10201313223 is a wasteful number, since it uses less digits than its factorization.

10201313223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15895 (or 15892 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10201313223 its reverse (32231310201), we get a palindrome (42432623424).

The spelling of 10201313223 in words is "ten billion, two hundred one million, three hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 3 9 61 183 549 1277 3831 11493 14551 43653 77897 130959 233691 701073 887611 2662833 7988499 18581627 55744881 167234643 1133479247 3400437741 10201313223