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312310020 = 223511473197
BaseRepresentation
bin10010100111010…
…111100100000100
3210202122222210210
4102213113210010
51114422410040
650553515420
710511406561
oct2247274404
9722588723
10312310020
11150322160
1288712b70
134c91ac39
142d699868
151c641480
hex129d7904

312310020 has 48 divisors (see below), whose sum is σ = 953967168. Its totient is φ = 75711360.

The previous prime is 312309983. The next prime is 312310051. The reversal of 312310020 is 20013213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 312309978 and 312310005.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 235939 + ... + 237258.

It is an arithmetic number, because the mean of its divisors is an integer number (19874316).

Almost surely, 2312310020 is an apocalyptic number.

312310020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312310020 is an abundant number, since it is smaller than the sum of its proper divisors (641657148).

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

312310020 is a wasteful number, since it uses less digits than its factorization.

312310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473220 (or 473218 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 312310020 is about 17672.2952668860. The cubic root of 312310020 is about 678.4668602567.

Adding to 312310020 its reverse (20013213), we get a palindrome (332323233).

The spelling of 312310020 in words is "three hundred twelve million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 473197 946394 1419591 1892788 2365985 2839182 4731970 5205167 5678364 7097955 9463940 10410334 14195910 15615501 20820668 26025835 28391820 31231002 52051670 62462004 78077505 104103340 156155010 312310020