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11330013321 = 3311311122663
BaseRepresentation
bin10101000110101001…
…00100100010001001
31002020121102022102000
422203110210202021
5141200440411241
65112133301213
7550524344544
oct124324444211
932217368360
1011330013321
114894551780
122242494809
1310b74034c3
14796a5785b
15464a2aeb6
hex2a3524889

11330013321 has 32 divisors (see below), whose sum is σ = 18370160640. Its totient is φ = 6844539600.

The previous prime is 11330013301. The next prime is 11330013337. The reversal of 11330013321 is 12331003311.

It is a happy number.

11330013321 is a `hidden beast` number, since 1 + 1 + 330 + 0 + 1 + 332 + 1 = 666.

It is not a de Polignac number, because 11330013321 - 210 = 11330012297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11330013294 and 11330013303.

It is not an unprimeable number, because it can be changed into a prime (11330013301) 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 31 ways as a sum of consecutive naturals, for example, 31036 + ... + 153698.

It is an arithmetic number, because the mean of its divisors is an integer number (574067520).

Almost surely, 211330013321 is an apocalyptic number.

11330013321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11330013321 is a deficient number, since it is larger than the sum of its proper divisors (7040147319).

11330013321 is a wasteful number, since it uses less digits than its factorization.

11330013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122994 (or 122988 counting only the distinct ones).

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

Adding to 11330013321 its reverse (12331003311), we get a palindrome (23661016632).

It can be divided in two parts, 113300 and 13321, that added together give a palindrome (126621).

The spelling of 11330013321 in words is "eleven billion, three hundred thirty million, thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 311 933 2799 3421 8397 10263 30789 92367 122663 367989 1103967 1349293 3311901 4047879 12143637 36430911 38148193 114444579 343333737 419630123 1030001211 1258890369 3776671107 11330013321