Base | Representation |
---|---|
bin | 10010101010100… |
… | …000000011010110 |
3 | 210211012201021200 |
4 | 102222200003112 |
5 | 1120130144342 |
6 | 51023253330 |
7 | 10521400005 |
oct | 2252400326 |
9 | 724181250 |
10 | 313131222 |
11 | 150833138 |
12 | 88a4a246 |
13 | 4cb47961 |
14 | 2d830c3c |
15 | 1c75494c |
hex | 12aa00d6 |
313131222 has 24 divisors (see below), whose sum is σ = 696788976. Its totient is φ = 101555856.
The previous prime is 313131193. The next prime is 313131251. The reversal of 313131222 is 222131313.
313131222 is a `hidden beast` number, since 313 + 131 + 222 = 666.
313131222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (313131193) and next prime (313131251).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 313131195 and 313131204.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234418 + ... + 235749.
It is an arithmetic number, because the mean of its divisors is an integer number (29032874).
Almost surely, 2313131222 is an apocalyptic number.
313131222 is an abundant number, since it is smaller than the sum of its proper divisors (383657754).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313131222 is a wasteful number, since it uses less digits than its factorization.
313131222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 470212 (or 470209 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 313131222 is about 17695.5141773275. The cubic root of 313131222 is about 679.0610035544.
Adding to 313131222 its reverse (222131313), we get a palindrome (535262535).
Subtracting from 313131222 its reverse (222131313), we obtain a palindrome (90999909).
It can be divided in two parts, 31 and 3131222, that added together give a triangular number (3131253 = T2502).
The spelling of 313131222 in words is "three hundred thirteen million, one hundred thirty-one thousand, two hundred twenty-two".
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