Search a number
-
+
11330012321 = 171889352817
BaseRepresentation
bin10101000110101001…
…00100010010100001
31002020121102021000222
422203110210102201
5141200440343241
65112133252425
7550524341615
oct124324442241
932217367028
1011330012321
114894550a51
122242494115
1310b7402c04
14796a57345
15464a2aa4b
hex2a35244a1

11330012321 has 8 divisors (see below), whose sum is σ = 12002868360. Its totient is φ = 10657865728.

The previous prime is 11330012297. The next prime is 11330012329. The reversal of 11330012321 is 12321003311.

It can be written as a sum of positive squares in 4 ways, for example, as 3241708096 + 8088304225 = 56936^2 + 89935^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11330012321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 11330012321.

It is not an unprimeable number, because it can be changed into a prime (11330012329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144296 + ... + 208521.

It is an arithmetic number, because the mean of its divisors is an integer number (1500358545).

Almost surely, 211330012321 is an apocalyptic number.

It is an amenable number.

11330012321 is a deficient number, since it is larger than the sum of its proper divisors (672856039).

11330012321 is a wasteful number, since it uses less digits than its factorization.

11330012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354723.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11330012321 its reverse (12321003311), we get a palindrome (23651015632).

The spelling of 11330012321 in words is "eleven billion, three hundred thirty million, twelve thousand, three hundred twenty-one".

Divisors: 1 17 1889 32113 352817 5997889 666471313 11330012321