Search a number
-
+
12033203013 = 3213149968611
BaseRepresentation
bin10110011010011110…
…00001101101000101
31011001121121001022200
423031033001231011
5144120444444023
65310013145113
7604123352346
oct131517015505
934047531280
1012033203013
11511547a587
1223b9a8b199
131199cbb690
148221c20cd
154a662d743
hex2cd3c1b45

12033203013 has 24 divisors (see below), whose sum is σ = 18731076000. Its totient is φ = 7400000160.

The previous prime is 12033202999. The next prime is 12033203029. The reversal of 12033203013 is 31030233021.

12033203013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12033203013 - 216 = 12033137477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033203213) 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 23 ways as a sum of consecutive naturals, for example, 141078 + ... + 209688.

It is an arithmetic number, because the mean of its divisors is an integer number (780461500).

Almost surely, 212033203013 is an apocalyptic number.

12033203013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12033203013 is a deficient number, since it is larger than the sum of its proper divisors (6697872987).

12033203013 is a wasteful number, since it uses less digits than its factorization.

12033203013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70129 (or 70126 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12033203013 its reverse (31030233021), we get a palindrome (43063436034).

The spelling of 12033203013 in words is "twelve billion, thirty-three million, two hundred three thousand, thirteen".

Divisors: 1 3 9 13 39 117 1499 4497 13491 19487 58461 68611 175383 205833 617499 891943 2675829 8027487 102847889 308543667 925631001 1337022557 4011067671 12033203013