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12323832321 = 31710711232011
BaseRepresentation
bin10110111101000111…
…01100001000000001
31011210212110112210010
423132203230020001
5200214400113241
65354514255133
7614252563203
oct133643541001
934725415703
1012323832321
115254533699
12247b2874a9
131215288198
1484ca36773
154c1ddad16
hex2de8ec201

12323832321 has 32 divisors (see below), whose sum is σ = 17585330688. Its totient is φ = 7649706240.

The previous prime is 12323832299. The next prime is 12323832337.

12323832321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12323832321 - 217 = 12323701249 is a prime.

It is a super-2 number, since 2×123238323212 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12323832341) 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, 6127206 + ... + 6129216.

It is an arithmetic number, because the mean of its divisors is an integer number (549541584).

Almost surely, 212323832321 is an apocalyptic number.

It is an amenable number.

12323832321 is a deficient number, since it is larger than the sum of its proper divisors (5261498367).

12323832321 is a wasteful number, since it uses less digits than its factorization.

12323832321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261.

The product of its digits is 10368, while the sum is 30.

The spelling of 12323832321 in words is "twelve billion, three hundred twenty-three million, eight hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 17 51 107 321 1123 1819 2011 3369 5457 6033 19091 34187 57273 102561 120161 215177 360483 645531 2042737 2258353 3658009 6128211 6775059 10974027 38392001 115176003 241643771 724931313 4107944107 12323832321