Base | Representation |
---|---|
bin | 100111000111000… |
… | …0100101011100000 |
3 | 10101110100100200100 |
4 | 1032032010223200 |
5 | 10141422441112 |
6 | 334115222400 |
7 | 44343316413 |
oct | 11616045340 |
9 | 3343310610 |
10 | 1312312032 |
11 | 6138474a9 |
12 | 3075a7a00 |
13 | 17bb58cc5 |
14 | c6407b7a |
15 | 7a3232dc |
hex | 4e384ae0 |
1312312032 has 72 divisors (see below), whose sum is σ = 3793116600. Its totient is φ = 430260480.
The previous prime is 1312311983. The next prime is 1312312033. The reversal of 1312312032 is 2302132131.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1312311996 and 1312312014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1312312033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19782 + ... + 54917.
It is an arithmetic number, because the mean of its divisors is an integer number (52682175).
Almost surely, 21312312032 is an apocalyptic number.
1312312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1312312032 is an abundant number, since it is smaller than the sum of its proper divisors (2480804568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1312312032 is a wasteful number, since it uses less digits than its factorization.
1312312032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74776 (or 74765 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 1312312032 is about 36225.8475677243. The cubic root of 1312312032 is about 1094.8275152097.
Adding to 1312312032 its reverse (2302132131), we get a palindrome (3614444163).
The spelling of 1312312032 in words is "one billion, three hundred twelve million, three hundred twelve thousand, thirty-two".
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