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12133233333 = 3213103702849
BaseRepresentation
bin10110100110011001…
…00111001010110101
31011022120211010010100
423103030213022311
5144322101431313
65323545144313
7606446532054
oct132314471265
934276733110
1012133233333
115166991871
12242748b099
1311b4942c10
148315c039b
154b02dc173
hex2d33272b5

12133233333 has 12 divisors (see below), whose sum is σ = 18873918700. Its totient is φ = 7466605056.

The previous prime is 12133233317. The next prime is 12133233367. The reversal of 12133233333 is 33333233121.

12133233333 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 323 + 3 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1500942564 + 10632290769 = 38742^2 + 103113^2 .

It is not a de Polignac number, because 12133233333 - 24 = 12133233317 is a prime.

It is a super-2 number, since 2×121332333332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12133233297 and 12133233306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133233383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51851308 + ... + 51851541.

Almost surely, 212133233333 is an apocalyptic number.

12133233333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12133233333 is a deficient number, since it is larger than the sum of its proper divisors (6740685367).

12133233333 is a wasteful number, since it uses less digits than its factorization.

12133233333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103702868 (or 103702865 counting only the distinct ones).

The product of its digits is 8748, while the sum is 27.

Adding to 12133233333 its reverse (33333233121), we get a palindrome (45466466454).

The spelling of 12133233333 in words is "twelve billion, one hundred thirty-three million, two hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 117 103702849 311108547 933325641 1348137037 4044411111 12133233333