Search a number
-
+
12001143461241 = 3111988372165959
BaseRepresentation
bin1010111010100011101111…
…1001001001010101111001
31120111022001022200221201210
42232220323321021111321
53033111320211224431
641305125454233333
72346024344200524
oct256507371112571
946438038627653
1012001143461241
1139077246841a0
121419a9a7b5849
1369091a57967c
142d6c037d1bbb
1515c29d4ddd46
hexaea3be49579

12001143461241 has 32 divisors (see below), whose sum is σ = 18377044300800. Its totient is φ = 6889825759680.

The previous prime is 12001143461233. The next prime is 12001143461339. The reversal of 12001143461241 is 14216434110021.

It is not a de Polignac number, because 12001143461241 - 23 = 12001143461233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001143461199 and 12001143461208.

It is not an unprimeable number, because it can be changed into a prime (12001143461231) 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, 4457820 + ... + 6623778.

It is an arithmetic number, because the mean of its divisors is an integer number (574282634400).

Almost surely, 212001143461241 is an apocalyptic number.

12001143461241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001143461241 is a deficient number, since it is larger than the sum of its proper divisors (6375900839559).

12001143461241 is a wasteful number, since it uses less digits than its factorization.

12001143461241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174829.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 12001143461241 its reverse (14216434110021), we get a palindrome (26217577571262).

The spelling of 12001143461241 in words is "twelve trillion, one billion, one hundred forty-three million, four hundred sixty-one thousand, two hundred forty-one".

Divisors: 1 3 11 19 33 57 209 627 8837 26511 97207 167903 291621 503709 1846933 2165959 5540799 6497877 23825549 41153221 71476647 123459663 452685431 1358056293 19140579683 57421739049 210546376513 363671013977 631639129539 1091013041931 4000381153747 12001143461241