Search a number
-
+
13113030213 = 32431371671481
BaseRepresentation
bin11000011011001100…
…01111011001000101
31020211212110221202200
430031212033121011
5203323413431323
610005105425113
7642644626533
oct141546173105
936755427680
1013113030213
115619a66758
12265b63b199
13130c92839a
148c578d153
1551b32c443
hex30d98f645

13113030213 has 48 divisors (see below), whose sum is σ = 19653169536. Its totient is φ = 8419944960.

The previous prime is 13113030209. The next prime is 13113030247. The reversal of 13113030213 is 31203031131.

It is a happy number.

13113030213 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 13113030213 - 22 = 13113030209 is a prime.

It is a super-2 number, since 2×131130302132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13113030313) 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 47 ways as a sum of consecutive naturals, for example, 8853433 + ... + 8854913.

It is an arithmetic number, because the mean of its divisors is an integer number (409441032).

Almost surely, 213113030213 is an apocalyptic number.

It is an amenable number.

13113030213 is a deficient number, since it is larger than the sum of its proper divisors (6540139323).

13113030213 is a wasteful number, since it uses less digits than its factorization.

13113030213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13113030213 its reverse (31203031131), we get a palindrome (44316061344).

The spelling of 13113030213 in words is "thirteen billion, one hundred thirteen million, thirty thousand, two hundred thirteen".

Divisors: 1 3 9 43 129 137 167 387 411 501 1233 1481 1503 4443 5891 7181 13329 17673 21543 22879 53019 63683 64629 68637 191049 202897 205911 247327 573147 608691 741981 983797 1826073 2225943 2951391 8724571 8854173 10635061 26173713 31905183 33883799 78521139 95715549 101651397 304954191 1457003357 4371010071 13113030213