Base | Representation |
---|---|
bin | 10010100111110… |
… | …010101010011111 |
3 | 210202212122002000 |
4 | 102213302222133 |
5 | 1114434433043 |
6 | 51000133343 |
7 | 10512351315 |
oct | 2247625237 |
9 | 722778060 |
10 | 312421023 |
11 | 1503985a2 |
12 | 88767253 |
13 | 4c959615 |
14 | 2d6c80b5 |
15 | 1c6642d3 |
hex | 129f2a9f |
312421023 has 16 divisors (see below), whose sum is σ = 465410400. Its totient is φ = 207126720.
The previous prime is 312421003. The next prime is 312421027. The reversal of 312421023 is 320124213.
It is a de Polignac number, because none of the positive numbers 2k-312421023 is a prime.
It is a super-3 number, since 3×3124210233 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 312420987 and 312421005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (312421027) 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 15 ways as a sum of consecutive naturals, for example, 27078 + ... + 36851.
It is an arithmetic number, because the mean of its divisors is an integer number (29088150).
Almost surely, 2312421023 is an apocalyptic number.
312421023 is a deficient number, since it is larger than the sum of its proper divisors (152989377).
312421023 is a wasteful number, since it uses less digits than its factorization.
312421023 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64119 (or 64113 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 312421023 is about 17675.4355816200. The cubic root of 312421023 is about 678.5472322495.
Adding to 312421023 its reverse (320124213), we get a palindrome (632545236).
The spelling of 312421023 in words is "three hundred twelve million, four hundred twenty-one thousand, twenty-three".
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