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12140200431 = 33598119397
BaseRepresentation
bin10110100111001110…
…01100000111101111
31011100001221002012000
423103213030013233
5144330342403211
65324354343343
7606563000232
oct132347140757
934301832160
1012140200431
11516a9102a7
12242988ab53
1311b6212168
148324b5419
154b0c16656
hex2d39cc1ef

12140200431 has 32 divisors (see below), whose sum is σ = 18314822400. Its totient is φ = 7945633440.

The previous prime is 12140200427. The next prime is 12140200447. The reversal of 12140200431 is 13400204121.

12140200431 is a `hidden beast` number, since 1 + 214 + 0 + 20 + 0 + 431 = 666.

It is not a de Polignac number, because 12140200431 - 22 = 12140200427 is a prime.

It is a super-2 number, since 2×121402004312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140200481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287225 + ... + 1296621.

It is an arithmetic number, because the mean of its divisors is an integer number (572338200).

Almost surely, 212140200431 is an apocalyptic number.

12140200431 is a deficient number, since it is larger than the sum of its proper divisors (6174621969).

12140200431 is an equidigital number, since it uses as much as digits as its factorization.

12140200431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10276 (or 10270 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12140200431 its reverse (13400204121), we get a palindrome (25540404552).

The spelling of 12140200431 in words is "twelve billion, one hundred forty million, two hundred thousand, four hundred thirty-one".

Divisors: 1 3 9 27 59 177 531 811 1593 2433 7299 9397 21897 28191 47849 84573 143547 253719 430641 554423 1291923 1663269 4989807 7620967 14969421 22862901 68588703 205766109 449637053 1348911159 4046733477 12140200431