Search a number
-
+
12133123218 = 233307731881
BaseRepresentation
bin10110100110011000…
…01100010010010010
31011022120121112002000
423103030030102102
5144322034420333
65323542534430
7606445563036
oct132314142222
934276545060
1012133123218
115166917067
122427437416
1311b4904a68
148315921c6
154b02b9713
hex2d330c492

12133123218 has 32 divisors (see below), whose sum is σ = 27050358720. Its totient is φ = 4031195040.

The previous prime is 12133123217. The next prime is 12133123229. The reversal of 12133123218 is 81232133121.

12133123218 is a `hidden beast` number, since 1 + 2 + 1 + 331 + 2 + 321 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12133123191 and 12133123200.

It is not an unprimeable number, because it can be changed into a prime (12133123217) 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, 349363 + ... + 382518.

It is an arithmetic number, because the mean of its divisors is an integer number (845323710).

Almost surely, 212133123218 is an apocalyptic number.

12133123218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12133123218 is an abundant number, since it is smaller than the sum of its proper divisors (14917235502).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12133123218 is a wasteful number, since it uses less digits than its factorization.

12133123218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732199 (or 732193 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 12133123218 its reverse (81232133121), we get a palindrome (93365256339).

The spelling of 12133123218 in words is "twelve billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 307 614 921 1842 2763 5526 8289 16578 731881 1463762 2195643 4391286 6586929 13173858 19760787 39521574 224687467 449374934 674062401 1348124802 2022187203 4044374406 6066561609 12133123218