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312111114 = 23743473677
BaseRepresentation
bin10010100110100…
…111000000001010
3210202021212221220
4102212213000022
51114400023424
650545342510
710506620640
oct2246470012
9722255856
10312111114
111501a6777
1288637a36
134c87b543
142d647190
151c602579
hex129a700a

312111114 has 64 divisors (see below), whose sum is σ = 745721856. Its totient is φ = 85224384.

The previous prime is 312111103. The next prime is 312111139. The reversal of 312111114 is 411111213.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312111093 and 312111102.

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 31 ways as a sum of consecutive naturals, for example, 83044 + ... + 86720.

It is an arithmetic number, because the mean of its divisors is an integer number (11651904).

Almost surely, 2312111114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312111114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372860928).

312111114 is an abundant number, since it is smaller than the sum of its proper divisors (433610742).

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

312111114 is a wasteful number, since it uses less digits than its factorization.

312111114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779.

The product of its digits is 24, while the sum is 15.

The square root of 312111114 is about 17666.6667484277. Note that the first 3 decimals coincide. The cubic root of 312111114 is about 678.3227942322.

Adding to 312111114 its reverse (411111213), we get a palindrome (723222327).

Subtracting 312111114 from its reverse (411111213), we obtain a palindrome (99000099).

The spelling of 312111114 in words is "three hundred twelve million, one hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 47 86 94 129 141 258 282 301 329 602 658 903 987 1806 1974 2021 3677 4042 6063 7354 11031 12126 14147 22062 25739 28294 42441 51478 77217 84882 154434 158111 172819 316222 345638 474333 518457 948666 1036914 1106777 1209733 2213554 2419466 3320331 3629199 6640662 7258398 7431217 14862434 22293651 44587302 52018519 104037038 156055557 312111114