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311123112 = 23313279769
BaseRepresentation
bin10010100010110…
…101110010101000
3210200102200200020
4102202311302220
51114121414422
650512240440
710465334316
oct2242656250
9720380606
10311123112
1114a691443
1288240120
134c5c3921
142d46b0b6
151c4a995c
hex128b5ca8

311123112 has 32 divisors (see below), whose sum is σ = 778473600. Its totient is φ = 103618944.

The previous prime is 311123089. The next prime is 311123117. The reversal of 311123112 is 211321113.

It is a happy number.

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 = 311123091 and 311123100.

It is not an unprimeable number, because it can be changed into a prime (311123117) 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 7 ways as a sum of consecutive naturals, for example, 26964 + ... + 36732.

It is an arithmetic number, because the mean of its divisors is an integer number (24327300).

Almost surely, 2311123112 is an apocalyptic number.

It is an amenable number.

311123112 is an abundant number, since it is smaller than the sum of its proper divisors (467350488).

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

311123112 is a wasteful number, since it uses less digits than its factorization.

311123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11105 (or 11101 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 311123112 is about 17638.6822637067. The cubic root of 311123112 is about 677.6062837120.

Adding to 311123112 its reverse (211321113), we get a palindrome (522444225).

The spelling of 311123112 in words is "three hundred eleven million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 1327 2654 3981 5308 7962 9769 10616 15924 19538 29307 31848 39076 58614 78152 117228 234456 12963463 25926926 38890389 51853852 77780778 103707704 155561556 311123112