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10003311011 = 2917319310331
BaseRepresentation
bin10010101000011111…
…00110100110100011
3221211010222211222102
421110033212212203
5130441321423021
64332341401015
7502614512021
oct112417464643
927733884872
1010003311011
114273676691
121b3210916b
13c355a9555
146ac785711
153d831400b
hex2543e69a3

10003311011 has 16 divisors (see below), whose sum is σ = 10463009760. Its totient is φ = 9551861760.

The previous prime is 10003310927. The next prime is 10003311023. The reversal of 10003311011 is 11011330001.

It is a happy number.

10003311011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10003311011 - 222 = 9999116707 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10003310983 and 10003311001.

It is not an unprimeable number, because it can be changed into a prime (10003311091) 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 15 ways as a sum of consecutive naturals, for example, 963116 + ... + 973446.

It is an arithmetic number, because the mean of its divisors is an integer number (653938110).

Almost surely, 210003311011 is an apocalyptic number.

10003311011 is a deficient number, since it is larger than the sum of its proper divisors (459698749).

10003311011 is a wasteful number, since it uses less digits than its factorization.

10003311011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10726.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10003311011 its reverse (11011330001), we get a palindrome (21014641012).

The spelling of 10003311011 in words is "ten billion, three million, three hundred eleven thousand, eleven".

Divisors: 1 29 173 193 5017 5597 10331 33389 299599 968281 1787263 1993883 51830627 57822607 344941759 10003311011