Search a number
-
+
111013320 = 233511372273
BaseRepresentation
bin1101001110111…
…10110111001000
321201220001122110
412213132313020
5211404411240
615003222320
72515411665
oct647366710
9251801573
10111013320
1157733a50
12312179a0
1319ccb672
1410a5aa6c
159b2cc80
hex69dedc8

111013320 has 128 divisors (see below), whose sum is σ = 373299840. Its totient is φ = 26173440.

The previous prime is 111013289. The next prime is 111013321. The reversal of 111013320 is 23310111.

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 = 111013296 and 111013305.

It is not an unprimeable number, because it can be changed into a prime (111013321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47704 + ... + 49976.

It is an arithmetic number, because the mean of its divisors is an integer number (2916405).

Almost surely, 2111013320 is an apocalyptic number.

111013320 is a gapful number since it is divisible by the number (10) 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 111013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186649920).

111013320 is an abundant number, since it is smaller than the sum of its proper divisors (262286520).

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

111013320 is a wasteful number, since it uses less digits than its factorization.

111013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 111013320 is about 10536.2858731149. The cubic root of 111013320 is about 480.6087761838.

Adding to 111013320 its reverse (23310111), we get a palindrome (134323431).

The spelling of 111013320 in words is "one hundred eleven million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2273 2442 3256 4070 4440 4546 4884 6105 6819 8140 9092 9768 11365 12210 13638 16280 18184 22730 24420 25003 27276 34095 45460 48840 50006 54552 68190 75009 84101 90920 100012 125015 136380 150018 168202 200024 250030 252303 272760 300036 336404 375045 420505 500060 504606 600072 672808 750090 841010 925111 1000120 1009212 1261515 1500180 1682020 1850222 2018424 2523030 2775333 3000360 3364040 3700444 4625555 5046060 5550666 7400888 9251110 10092120 11101332 13876665 18502220 22202664 27753330 37004440 55506660 111013320