Search a number
-
+
12333201231 = 3133137594673
BaseRepresentation
bin10110111110001110…
…11011011101001111
31011211112002112111210
423133013123131033
5200224244414411
65355451145503
7614425323621
oct133707333517
934745075453
1012333201231
11525985269a
122482445293
1312171b8710
1484dd94c11
154c2b3bca6
hex2df1db74f

12333201231 has 64 divisors (see below), whose sum is σ = 19096842240. Its totient is φ = 7023697920.

The previous prime is 12333201211. The next prime is 12333201253. The reversal of 12333201231 is 13210233321.

It is not a de Polignac number, because 12333201231 - 231 = 10185717583 is a prime.

It is a super-2 number, since 2×123332012312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12333201198 and 12333201207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2636911 + ... + 2641583.

It is an arithmetic number, because the mean of its divisors is an integer number (298388160).

Almost surely, 212333201231 is an apocalyptic number.

12333201231 is a deficient number, since it is larger than the sum of its proper divisors (6763641009).

12333201231 is a wasteful number, since it uses less digits than its factorization.

12333201231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12333201231 its reverse (13210233321), we get a palindrome (25543434552).

The spelling of 12333201231 in words is "twelve billion, three hundred thirty-three million, two hundred one thousand, two hundred thirty-one".

Divisors: 1 3 13 31 37 39 59 93 111 177 403 481 767 1147 1209 1443 1829 2183 2301 3441 4673 5487 6549 14019 14911 23777 28379 44733 60749 67673 71331 85137 144863 172901 182247 203019 275707 434589 518703 827121 879749 1883219 2247713 2639247 3584191 5359931 5649657 6743139 8546917 10201159 10752573 16079793 25640751 30603477 69679103 111109921 132615067 209037309 316235929 333329763 397845201 948707787 4111067077 12333201231