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12133142202 = 2359281283431
BaseRepresentation
bin10110100110011000…
…10000111010111010
31011022120122111010010
423103030100322322
5144322041022302
65323543202350
7606446002266
oct132314207272
934276574103
1012133142202
11516692a355
1224274463b6
1311b49105ac
148315990a6
154b02c016c
hex2d3310eba

12133142202 has 64 divisors (see below), whose sum is σ = 24910571520. Its totient is φ = 3938524800.

The previous prime is 12133142201. The next prime is 12133142213. The reversal of 12133142202 is 20224133121.

12133142202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12133142201) 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 31 ways as a sum of consecutive naturals, for example, 28150927 + ... + 28151357.

It is an arithmetic number, because the mean of its divisors is an integer number (389227680).

Almost surely, 212133142202 is an apocalyptic number.

12133142202 is an abundant number, since it is smaller than the sum of its proper divisors (12777429318).

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

12133142202 is a wasteful number, since it uses less digits than its factorization.

12133142202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12133142202 its reverse (20224133121), we get a palindrome (32357275323).

The spelling of 12133142202 in words is "twelve billion, one hundred thirty-three million, one hundred forty-two thousand, two hundred two".

Divisors: 1 2 3 6 59 118 177 281 283 354 431 562 566 843 849 862 1293 1686 1698 2586 16579 16697 25429 33158 33394 49737 50091 50858 76287 79523 99474 100182 121111 121973 152574 159046 238569 242222 243946 363333 365919 477138 726666 731838 4691857 7145549 7196407 9383714 14075571 14291098 14392814 21436647 21589221 28151142 34274413 42873294 43178442 68548826 102823239 205646478 2022190367 4044380734 6066571101 12133142202