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12003133013 = 67311576049
BaseRepresentation
bin10110010110111000…
…10100011001010101
31010222112000100000222
423023130110121111
5144040300224023
65303020444125
7603306642614
oct131334243125
933875010028
1012003133013
1150aa501543
1223ab9a9645
1311939c0891
1481c1d587b
154a3b8dcc8
hex2cb714655

12003133013 has 8 divisors (see below), whose sum is σ = 12221476800. Its totient is φ = 11785942080.

The previous prime is 12003132989. The next prime is 12003133057. The reversal of 12003133013 is 31033130021.

12003133013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12003133013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12003132982 and 12003133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003133313) 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, 267188 + ... + 308861.

It is an arithmetic number, because the mean of its divisors is an integer number (1527684600).

Almost surely, 212003133013 is an apocalyptic number.

It is an amenable number.

12003133013 is a deficient number, since it is larger than the sum of its proper divisors (218343787).

12003133013 is an equidigital number, since it uses as much as digits as its factorization.

12003133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576427.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 12003133013 its reverse (31033130021), we get a palindrome (43036263034).

The spelling of 12003133013 in words is "twelve billion, three million, one hundred thirty-three thousand, thirteen".

Divisors: 1 67 311 20837 576049 38595283 179151239 12003133013