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12444322132231 = 1119311920716489
BaseRepresentation
bin1011010100010110101101…
…1001100111000100000111
31122001122222012120002002021
42311011223121213010013
53112341432431212411
642244502003224011
72423033621556643
oct265055331470407
948048865502067
1012444322132231
113a6867546a150
12148b962378007
136c365767b772
14310446397c23
15168a8a9a7a71
hexb516b667107

12444322132231 has 16 divisors (see below), whose sum is σ = 14751102643200. Its totient is φ = 10371869035200.

The previous prime is 12444322132223. The next prime is 12444322132243. The reversal of 12444322132231 is 13223122344421.

12444322132231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12444322132231 - 23 = 12444322132223 is a prime.

It is a super-2 number, since 2×124443221322312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444322133231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960351766 + ... + 960364723.

It is an arithmetic number, because the mean of its divisors is an integer number (921943915200).

Almost surely, 212444322132231 is an apocalyptic number.

12444322132231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12444322132231 is a deficient number, since it is larger than the sum of its proper divisors (2306780510969).

12444322132231 is a wasteful number, since it uses less digits than its factorization.

12444322132231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920716550.

The product of its digits is 55296, while the sum is 34.

Adding to 12444322132231 its reverse (13223122344421), we get a palindrome (25667444476652).

The spelling of 12444322132231 in words is "twelve trillion, four hundred forty-four billion, three hundred twenty-two million, one hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 11 19 31 209 341 589 6479 1920716489 21127881379 36493613291 59542211159 401429746201 654964322749 1131302012021 12444322132231