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12334310241 = 3113529105913
BaseRepresentation
bin10110111110010111…
…01010001101100001
31011211121011212210020
423133023222031201
5200230040411431
65355531024053
7614440623111
oct133713521541
934747155706
1012334310241
11525a43a930
12248289b029
1312174b6436
148501a3041
154c2caa696
hex2df2ea361

12334310241 has 16 divisors (see below), whose sum is σ = 17946068160. Its totient is φ = 7473150720.

The previous prime is 12334310239. The next prime is 12334310249. The reversal of 12334310241 is 14201343321.

It is a happy number.

It is not a de Polignac number, because 12334310241 - 21 = 12334310239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12334310249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63501 + ... + 169413.

It is an arithmetic number, because the mean of its divisors is an integer number (1121629260).

Almost surely, 212334310241 is an apocalyptic number.

12334310241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12334310241 is a deficient number, since it is larger than the sum of its proper divisors (5611757919).

12334310241 is a wasteful number, since it uses less digits than its factorization.

12334310241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109456.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12334310241 its reverse (14201343321), we get a palindrome (26535653562).

The spelling of 12334310241 in words is "twelve billion, three hundred thirty-four million, three hundred ten thousand, two hundred forty-one".

Divisors: 1 3 11 33 3529 10587 38819 105913 116457 317739 1165043 3495129 373766977 1121300931 4111436747 12334310241