Search a number
-
+
111211830 = 23251816827
BaseRepresentation
bin1101010000011…
…11010100110110
321202021010221200
412220033110312
5211432234310
615011353330
72520166512
oct650172466
9252233850
10111211830
115785a104
12312b2846
131a06ab22
1410aad142
159b6b9c0
hex6a0f536

111211830 has 48 divisors (see below), whose sum is σ = 290790864. Its totient is φ = 29488320.

The previous prime is 111211829. The next prime is 111211843. The reversal of 111211830 is 38112111.

It is a happy number.

It is a super-2 number, since 2×1112118302 = 24736142263897800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12877 + ... + 19703.

It is an arithmetic number, because the mean of its divisors is an integer number (6058143).

Almost surely, 2111211830 is an apocalyptic number.

111211830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111211830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145395432).

111211830 is an abundant number, since it is smaller than the sum of its proper divisors (179579034).

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

111211830 is a wasteful number, since it uses less digits than its factorization.

111211830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 111211830 is about 10545.7019681006. The cubic root of 111211830 is about 480.8950746736.

Adding to 111211830 its reverse (38112111), we get a palindrome (149323941).

The spelling of 111211830 in words is "one hundred eleven million, two hundred eleven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 6827 8145 13654 16290 20481 34135 40962 61443 68270 102405 122886 204810 307215 614430 1235687 2471374 3707061 6178435 7414122 11121183 12356870 18535305 22242366 37070610 55605915 111211830