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111414312 = 23331015107
BaseRepresentation
bin1101010010000…
…00110000101000
321202122102201000
412221000300220
5212010224222
615015555000
72522002032
oct651006050
9252572630
10111414312
1157988249
123138ba60
131a10c039
1410b22c52
159bab9ac
hex6a40c28

111414312 has 64 divisors (see below), whose sum is σ = 312609600. Its totient is φ = 36763200.

The previous prime is 111414307. The next prime is 111414313. The reversal of 111414312 is 213414111.

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 not an unprimeable number, because it can be changed into a prime (111414313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19263 + ... + 24369.

It is an arithmetic number, because the mean of its divisors is an integer number (4884525).

Almost surely, 2111414312 is an apocalyptic number.

111414312 is a gapful number since it is divisible by the number (12) 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 111414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156304800).

111414312 is an abundant number, since it is smaller than the sum of its proper divisors (201195288).

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

111414312 is a wasteful number, since it uses less digits than its factorization.

111414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5213 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 111414312 is about 10555.2978167364. The cubic root of 111414312 is about 481.1867509614.

Adding to 111414312 its reverse (213414111), we get a palindrome (324828423).

The spelling of 111414312 in words is "one hundred eleven million, four hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5107 5454 7272 10214 10908 15321 20428 21816 30642 40856 45963 61284 91926 122568 137889 183852 275778 367704 515807 551556 1031614 1103112 1547421 2063228 3094842 4126456 4642263 6189684 9284526 12379368 13926789 18569052 27853578 37138104 55707156 111414312