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12004141431 = 335407113011
BaseRepresentation
bin10110010111000000…
…01010100101110111
31010222120220120022210
423023200022211313
5144041030011211
65303054224503
7603321342612
oct131340124567
933876816283
1012004141431
115100030147
1223b01b5133
131193c84889
1481c3b9179
154a3cdc9a6
hex2cb80a977

12004141431 has 8 divisors (see below), whose sum is σ = 16006115584. Its totient is φ = 8002464120.

The previous prime is 12004141381. The next prime is 12004141441. The reversal of 12004141431 is 13414140021.

12004141431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12004141431 - 26 = 12004141367 is a prime.

It is a super-2 number, since 2×120041414312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12004141398 and 12004141407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004141441) 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 7 ways as a sum of consecutive naturals, for example, 49716 + ... + 162726.

It is an arithmetic number, because the mean of its divisors is an integer number (2000764448).

Almost surely, 212004141431 is an apocalyptic number.

12004141431 is a deficient number, since it is larger than the sum of its proper divisors (4001974153).

12004141431 is a wasteful number, since it uses less digits than its factorization.

12004141431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148421.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12004141431 its reverse (13414140021), we get a palindrome (25418281452).

The spelling of 12004141431 in words is "twelve billion, four million, one hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 35407 106221 113011 339033 4001380477 12004141431