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12132422431 = 196110468009
BaseRepresentation
bin10110100110010011…
…00001001100011111
31011022112021220202221
423103021201030133
5144321400004211
65323515530211
7606436613653
oct132311411437
934275256687
1012132422431
1151664885a8
122427159967
1311b471aaac
1483144ca63
154b01cbc71
hex2d326131f

12132422431 has 8 divisors (see below), whose sum is σ = 12980332400. Its totient is φ = 11305448640.

The previous prime is 12132422399. The next prime is 12132422441. The reversal of 12132422431 is 13422423121.

12132422431 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 a cyclic number.

It is not a de Polignac number, because 12132422431 - 25 = 12132422399 is a prime.

It is a super-2 number, since 2×121324224312 (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 = 12132422396 and 12132422405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132422441) 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, 5232846 + ... + 5235163.

It is an arithmetic number, because the mean of its divisors is an integer number (1622541550).

Almost surely, 212132422431 is an apocalyptic number.

12132422431 is a deficient number, since it is larger than the sum of its proper divisors (847909969).

12132422431 is a wasteful number, since it uses less digits than its factorization.

12132422431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10468089.

The product of its digits is 2304, while the sum is 25.

Adding to 12132422431 its reverse (13422423121), we get a palindrome (25554845552).

The spelling of 12132422431 in words is "twelve billion, one hundred thirty-two million, four hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 19 61 1159 10468009 198892171 638548549 12132422431