Search a number
-
+
10003334133 = 3132326342403
BaseRepresentation
bin10010101000011111…
…01100001111110101
3221211011001000200210
421110033230033311
5130441323143013
64332342100033
7502614636312
oct112417541765
927734030623
1010003334133
114273691aa1
121b3211a619
13c355b6c30
146ac78dd09
153d831acc3
hex2543ec3f5

10003334133 has 32 divisors (see below), whose sum is σ = 15045617664. Its totient is φ = 5865723072.

The previous prime is 10003334083. The next prime is 10003334137. The reversal of 10003334133 is 33143330001.

It is not a de Polignac number, because 10003334133 - 29 = 10003333621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003334137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214710 + ... + 257112.

It is an arithmetic number, because the mean of its divisors is an integer number (470175552).

Almost surely, 210003334133 is an apocalyptic number.

10003334133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10003334133 is a deficient number, since it is larger than the sum of its proper divisors (5042283531).

10003334133 is a wasteful number, since it uses less digits than its factorization.

10003334133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42705.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10003334133 its reverse (33143330001), we get a palindrome (43146664134).

The spelling of 10003334133 in words is "ten billion, three million, three hundred thirty-four thousand, one hundred thirty-three".

Divisors: 1 3 13 23 39 69 263 299 789 897 3419 6049 10257 18147 42403 78637 127209 235911 551239 975269 1653717 2925807 11151989 12678497 33455967 38035491 144975857 256495747 434927571 769487241 3334444711 10003334133