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1312443132 = 22371113372953
BaseRepresentation
bin100111000111010…
…0100101011111100
310101110121000111220
41032032210223330
510141441140012
6334122113340
744344403550
oct11616445374
93343530456
101312443132
11613926a50
1230764b850
1317bba3890
14c643d860
157a34c08c
hex4e3a4afc

1312443132 has 192 divisors, whose sum is σ = 4224267264. Its totient is φ = 306063360.

The previous prime is 1312443131. The next prime is 1312443161. The reversal of 1312443132 is 2313442131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312443131) 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 63 ways as a sum of consecutive naturals, for example, 442968 + ... + 445920.

It is an arithmetic number, because the mean of its divisors is an integer number (22001392).

Almost surely, 21312443132 is an apocalyptic number.

1312443132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312443132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112133632).

1312443132 is an abundant number, since it is smaller than the sum of its proper divisors (2911824132).

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

1312443132 is a wasteful number, since it uses less digits than its factorization.

1312443132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3026 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1312443132 is about 36227.6570040073. The cubic root of 1312443132 is about 1094.8639717598.

Adding to 1312443132 its reverse (2313442131), we get a palindrome (3625885263).

It can be divided in two parts, 1312 and 443132, that added together give a palindrome (444444).

The spelling of 1312443132 in words is "one billion, three hundred twelve million, four hundred forty-three thousand, one hundred thirty-two".