Search a number
-
+
13330003331 = 172101456679
BaseRepresentation
bin11000110101000011…
…11011010110000011
31021101222202022221002
430122201323112003
5204244440101311
610042420122215
7651221105321
oct143241732603
937358668832
1013330003331
115720491887
12270023636b
131345876148
1490650cd11
155303da93b
hex31a87b583

13330003331 has 12 divisors (see below), whose sum is σ = 14300477520. Its totient is φ = 12421641600.

The previous prime is 13330003327. The next prime is 13330003363.

13330003331 is nontrivially palindromic in base 10.

13330003331 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 13330003331 - 22 = 13330003327 is a prime.

It is a super-2 number, since 2×133300033312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13330002331) 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 11 ways as a sum of consecutive naturals, for example, 199151 + ... + 257528.

It is an arithmetic number, because the mean of its divisors is an integer number (1191706460).

Almost surely, 213330003331 is an apocalyptic number.

13330003331 is a deficient number, since it is larger than the sum of its proper divisors (970474189).

13330003331 is a wasteful number, since it uses less digits than its factorization.

13330003331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456814 (or 456797 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 20.

It can be divided in two parts, 1333000 and 3331, that added together give a palindrome (1336331).

The spelling of 13330003331 in words is "thirteen billion, three hundred thirty million, three thousand, three hundred thirty-one".

Divisors: 1 17 101 289 1717 29189 456679 7763543 46124579 131980231 784117843 13330003331