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311130112 = 211433533
BaseRepresentation
bin10010100010110…
…111100000000000
3210200110001021111
4102202313200000
51114122130422
650512333104
710465363606
oct2242674000
9720401244
10311130112
1114a696727
1288244194
134c5c6b77
142d46d876
151c4aba77
hex128b7800

311130112 has 48 divisors (see below), whose sum is σ = 636756120. Its totient is φ = 151904256.

The previous prime is 311130049. The next prime is 311130133. The reversal of 311130112 is 211031113.

It is a junction number, because it is equal to n+sod(n) for n = 311130092 and 311130101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86298 + ... + 89830.

Almost surely, 2311130112 is an apocalyptic number.

311130112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318378060).

311130112 is an abundant number, since it is smaller than the sum of its proper divisors (325626008).

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

311130112 is an equidigital number, since it uses as much as digits as its factorization.

311130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 311130112 is about 17638.8806901118. The cubic root of 311130112 is about 677.6113655250.

Adding to 311130112 its reverse (211031113), we get a palindrome (522161225).

The spelling of 311130112 in words is "three hundred eleven million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 2048 2752 3533 5504 7066 11008 14132 22016 28264 44032 56528 88064 113056 151919 226112 303838 452224 607676 904448 1215352 1808896 2430704 3617792 4861408 7235584 9722816 19445632 38891264 77782528 155565056 311130112