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10003313121 = 35362913919
BaseRepresentation
bin10010101000011111…
…00111000111100001
3221211010222221212120
421110033213013201
5130441322004441
64332341414453
7502614521124
oct112417470741
927733887776
1010003313121
11427367822a
121b3210a429
13c355aa4b9
146ac7863bb
153d8314966
hex2543e71e1

10003313121 has 8 divisors (see below), whose sum is σ = 13589406720. Its totient is φ = 6543047472.

The previous prime is 10003313053. The next prime is 10003313123. The reversal of 10003313121 is 12131330001.

10003313121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10003313121 - 29 = 10003312609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10003313121.

It is not an unprimeable number, because it can be changed into a prime (10003313123) 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 7 ways as a sum of consecutive naturals, for example, 31456801 + ... + 31457118.

It is an arithmetic number, because the mean of its divisors is an integer number (1698675840).

Almost surely, 210003313121 is an apocalyptic number.

It is an amenable number.

10003313121 is a deficient number, since it is larger than the sum of its proper divisors (3586093599).

10003313121 is an equidigital number, since it uses as much as digits as its factorization.

10003313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62913975.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10003313121 its reverse (12131330001), we get a palindrome (22134643122).

The spelling of 10003313121 in words is "ten billion, three million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 53 159 62913919 188741757 3334437707 10003313121