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12133141434 = 2321739650789
BaseRepresentation
bin10110100110011000…
…10000101110111010
31011022120122110001200
423103030100232322
5144322041011214
65323543155030
7606446000121
oct132314205672
934276573050
1012133141434
115166929817
122427445a76
1311b491013b
14831598ab8
154b02bed09
hex2d3310bba

12133141434 has 24 divisors (see below), whose sum is σ = 27834854580. Its totient is φ = 3806475648.

The previous prime is 12133141409. The next prime is 12133141457. The reversal of 12133141434 is 43414133121.

12133141434 is a `hidden beast` number, since 1 + 213 + 3 + 1 + 414 + 34 = 666.

12133141434 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 2 ways, for example, as 10131026409 + 2002115025 = 100653^2 + 44745^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12133141398 and 12133141407.

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 11 ways as a sum of consecutive naturals, for example, 19825089 + ... + 19825700.

Almost surely, 212133141434 is an apocalyptic number.

12133141434 is an abundant number, since it is smaller than the sum of its proper divisors (15701713146).

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

12133141434 is a wasteful number, since it uses less digits than its factorization.

12133141434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39650814 (or 39650811 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 12133141434 its reverse (43414133121), we get a palindrome (55547274555).

The spelling of 12133141434 in words is "twelve billion, one hundred thirty-three million, one hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 39650789 79301578 118952367 237904734 356857101 674063413 713714202 1348126826 2022190239 4044380478 6066570717 12133141434