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12000234233 = 133301279641
BaseRepresentation
bin10110010110100010…
…10000101011111001
31010222022120001122202
423023101100223321
5144034024443413
65302434355545
7603243210431
oct131321205371
933868501582
1012000234233
1150a8901659
1223aaa2bbb5
131193217320
1481ba7d2c1
154a37b9e58
hex2cb450af9

12000234233 has 8 divisors (see below), whose sum is σ = 12927290376. Its totient is φ = 11073744000.

The previous prime is 12000234217. The next prime is 12000234269. The reversal of 12000234233 is 33243200021.

12000234233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 553802089 + 11446432144 = 23533^2 + 106988^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12000234233 - 24 = 12000234217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12000234293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96908 + ... + 182733.

It is an arithmetic number, because the mean of its divisors is an integer number (1615911297).

Almost surely, 212000234233 is an apocalyptic number.

12000234233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12000234233 is a deficient number, since it is larger than the sum of its proper divisors (927056143).

12000234233 is a wasteful number, since it uses less digits than its factorization.

12000234233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282955.

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12000234233 its reverse (33243200021), we get a palindrome (45243434254).

The spelling of 12000234233 in words is "twelve billion, two hundred thirty-four thousand, two hundred thirty-three".

Divisors: 1 13 3301 42913 279641 3635333 923094941 12000234233