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12133330443 = 351330712511
BaseRepresentation
bin10110100110011001…
…11110111000001011
31011022121000001100000
423103030332320023
5144322113033233
65323551214043
7606450415143
oct132314767013
934277001300
1012133330443
115166a48823
122427517323
1311b4978190
14831607923
154b030ad13
hex2d333ee0b

12133330443 has 48 divisors (see below), whose sum is σ = 19638434816. Its totient is φ = 7441748640.

The previous prime is 12133330399. The next prime is 12133330453. The reversal of 12133330443 is 34403333121.

12133330443 is a `hidden beast` number, since 1 + 21 + 333 + 304 + 4 + 3 = 666.

It is not a de Polignac number, because 12133330443 - 26 = 12133330379 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12133330453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963558 + ... + 976068.

Almost surely, 212133330443 is an apocalyptic number.

12133330443 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12133330443 is a deficient number, since it is larger than the sum of its proper divisors (7505104373).

12133330443 is a wasteful number, since it uses less digits than its factorization.

12133330443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12846 (or 12834 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12133330443 its reverse (34403333121), we get a palindrome (46536663564).

The spelling of 12133330443 in words is "twelve billion, one hundred thirty-three million, three hundred thirty thousand, four hundred forty-three".

Divisors: 1 3 9 13 27 39 81 117 243 307 351 921 1053 2763 3159 3991 8289 11973 12511 24867 35919 37533 74601 107757 112599 162643 323271 337797 487929 969813 1013391 1463787 3040173 3840877 4391361 11522631 13174083 34567893 39522249 49931401 103703679 149794203 311111037 449382609 933333111 1348147827 4044443481 12133330443