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11320013121 = 3414713714293
BaseRepresentation
bin10101000101011100…
…11011000101000001
31002012220121020201020
422202232123011001
5141140410404441
65111135100053
7550343344464
oct124256330501
932186536636
1011320013121
11488994144a
12223b071629
1310b5311821
147955b32db
15463c02e66
hex2a2b9b141

11320013121 has 32 divisors (see below), whose sum is σ = 15906820608. Its totient is φ = 7152860160.

The previous prime is 11320013119. The next prime is 11320013161. The reversal of 11320013121 is 12131002311.

It is a happy number.

It is not a de Polignac number, because 11320013121 - 21 = 11320013119 is a prime.

It is a super-3 number, since 3×113200131213 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 11320013121.

It is not an unprimeable number, because it can be changed into a prime (11320013161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784851 + ... + 799143.

It is an arithmetic number, because the mean of its divisors is an integer number (497088144).

Almost surely, 211320013121 is an apocalyptic number.

It is an amenable number.

11320013121 is a deficient number, since it is larger than the sum of its proper divisors (4586807487).

11320013121 is a wasteful number, since it uses less digits than its factorization.

11320013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14521.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11320013121 its reverse (12131002311), we get a palindrome (23451015432).

The spelling of 11320013121 in words is "eleven billion, three hundred twenty million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 41 47 123 137 141 411 1927 5617 5781 6439 14293 16851 19317 42879 263999 586013 671771 791997 1758039 1958141 2015313 5874423 27542611 80283781 82627833 92032627 240851343 276097881 3773337707 11320013121