Search a number
-
+
12412242333 = 3337891371019
BaseRepresentation
bin10111000111101001…
…11100100110011101
31012001000211020112000
423203310330212131
5200410013223313
65411353232513
7616405214301
oct134364744635
935030736460
1012412242333
11529a429417
1224a4a02739
13122a6a14ba
1485a68bd01
154c9a51673
hex2e3d3c99d

12412242333 has 64 divisors (see below), whose sum is σ = 19255968000. Its totient is φ = 7894858752.

The previous prime is 12412242331. The next prime is 12412242343. The reversal of 12412242333 is 33324221421.

12412242333 is a `hidden beast` number, since 1 + 2 + 412 + 242 + 3 + 3 + 3 = 666.

It is not a de Polignac number, because 12412242333 - 21 = 12412242331 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12412242297 and 12412242306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412242331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12180298 + ... + 12181316.

It is an arithmetic number, because the mean of its divisors is an integer number (300874500).

Almost surely, 212412242333 is an apocalyptic number.

It is an amenable number.

12412242333 is a deficient number, since it is larger than the sum of its proper divisors (6843725667).

12412242333 is a wasteful number, since it uses less digits than its factorization.

12412242333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1285 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 12412242333 its reverse (33324221421), we get a palindrome (45736463754).

The spelling of 12412242333 in words is "twelve billion, four hundred twelve million, two hundred forty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 27 37 89 111 137 267 333 411 801 999 1019 1233 2403 3057 3293 3699 5069 9171 9879 12193 15207 27513 29637 36579 37703 45621 88911 90691 109737 113109 136863 139603 272073 329211 339327 418809 451141 816219 1017981 1256427 1353423 2448657 3355567 3769281 4060269 5165311 10066701 12180807 12424667 15495933 30200103 37274001 46487799 90600309 111822003 139463397 335466009 459712679 1379138037 4137414111 12412242333