Search a number
-
+
13301012322 = 2331318947311
BaseRepresentation
bin11000110001100110…
…10101011101100010
31021022222012102202000
430120303111131202
5204220024343242
610035502504430
7650416511403
oct143063253542
937288172660
1013301012322
115706090474
1226b2595116
13133c8654c0
149027239aa
1552cab0a4c
hex318cd5762

13301012322 has 32 divisors (see below), whose sum is σ = 31831484160. Its totient is φ = 4092618960.

The previous prime is 13301012321. The next prime is 13301012327. The reversal of 13301012322 is 22321010331.

13301012322 is a `hidden beast` number, since 1 + 330 + 1 + 0 + 12 + 322 = 666.

13301012322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13301012295 and 13301012304.

It is not an unprimeable number, because it can be changed into a prime (13301012321) 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, 9472954 + ... + 9474357.

It is an arithmetic number, because the mean of its divisors is an integer number (994733880).

Almost surely, 213301012322 is an apocalyptic number.

13301012322 is an abundant number, since it is smaller than the sum of its proper divisors (18530471838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13301012322 is a wasteful number, since it uses less digits than its factorization.

13301012322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18947335 (or 18947329 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13301012322 its reverse (22321010331), we get a palindrome (35622022653).

The spelling of 13301012322 in words is "thirteen billion, three hundred one million, twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 18947311 37894622 56841933 113683866 170525799 246315043 341051598 492630086 511577397 738945129 1023154794 1477890258 2216835387 4433670774 6650506161 13301012322