Base | Representation |
---|---|
bin | 1001000110111011111… |
… | …11010010010010011111 |
3 | 1002220210212012212001100 |
4 | 10203131333102102133 |
5 | 20111421233000111 |
6 | 355434525444143 |
7 | 31416330052032 |
oct | 4433577222237 |
9 | 1086725185040 |
10 | 312962000031 |
11 | 1107a998781a |
12 | 507a2410653 |
13 | 23687387205 |
14 | 1120c819019 |
15 | 821a606756 |
hex | 48ddfd249f |
312962000031 has 24 divisors (see below), whose sum is σ = 457867506096. Its totient is φ = 205975710720.
The previous prime is 312962000027. The next prime is 312962000119. The reversal of 312962000031 is 130000269213.
312962000031 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 620 + 0 + 0 + 0 + 31 = 666.
It is not a de Polignac number, because 312962000031 - 22 = 312962000027 is a prime.
It is a super-2 number, since 2×3129620000312 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 312961999959 and 312962000004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (312962000011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460140 + ... + 915233.
It is an arithmetic number, because the mean of its divisors is an integer number (19077812754).
Almost surely, 2312962000031 is an apocalyptic number.
312962000031 is a deficient number, since it is larger than the sum of its proper divisors (144905506065).
312962000031 is a wasteful number, since it uses less digits than its factorization.
312962000031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1375703 (or 1375700 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 27.
Adding to 312962000031 its reverse (130000269213), we get a palindrome (442962269244).
The spelling of 312962000031 in words is "three hundred twelve billion, nine hundred sixty-two million, thirty-one", and thus it is an aban number.
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