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12133021000 = 235312133021
BaseRepresentation
bin10110100110010111…
…10011010101001000
31011022120102022212011
423103023303111020
5144322023133000
65323540425304
7606444656032
oct132313632510
934276368764
1012133021000
115166857291
1224273a8234
1311b489a389
14831566c52
154b02992ba
hex2d32f3548

12133021000 has 32 divisors (see below), whose sum is σ = 28391271480. Its totient is φ = 4853208000.

The previous prime is 12133020943. The next prime is 12133021049. The reversal of 12133021000 is 12033121.

12133021000 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 3502982596 + 8630038404 = 59186^2 + 92898^2 .

It is an unprimeable number.

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, 6065511 + ... + 6067510.

Almost surely, 212133021000 is an apocalyptic number.

12133021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133021000 is an abundant number, since it is smaller than the sum of its proper divisors (16258250480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12133021000 is a wasteful number, since it uses less digits than its factorization.

12133021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133042 (or 12133028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12133021000 its reverse (12033121), we get a palindrome (12145054121).

The spelling of 12133021000 in words is "twelve billion, one hundred thirty-three million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12133021 24266042 48532084 60665105 97064168 121330210 242660420 303325525 485320840 606651050 1213302100 1516627625 2426604200 3033255250 6066510500 12133021000