Search a number
-
+
111204020 = 22543191677
BaseRepresentation
bin1101010000011…
…01011010110100
321202020202020102
412220031122310
5211432012040
615011253232
72520134654
oct650153264
9252222212
10111204020
1157854254
12312aa218
131a0673c5
1410aaa364
159b69515
hex6a0d6b4

111204020 has 48 divisors (see below), whose sum is σ = 240565248. Its totient is φ = 43155840.

The previous prime is 111204007. The next prime is 111204029. The reversal of 111204020 is 20402111.

It is a junction number, because it is equal to n+sod(n) for n = 111203992 and 111204010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111204029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163922 + ... + 164598.

It is an arithmetic number, because the mean of its divisors is an integer number (5011776).

Almost surely, 2111204020 is an apocalyptic number.

111204020 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 111204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120282624).

111204020 is an abundant number, since it is smaller than the sum of its proper divisors (129361228).

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

111204020 is a wasteful number, since it uses less digits than its factorization.

111204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 111204020 is about 10545.3316685631. The cubic root of 111204020 is about 480.8838172428.

Adding to 111204020 its reverse (20402111), we get a palindrome (131606131).

The spelling of 111204020 in words is "one hundred eleven million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 191 215 382 430 677 764 860 955 1354 1910 2708 3385 3820 6770 8213 13540 16426 29111 32852 41065 58222 82130 116444 129307 145555 164260 258614 291110 517228 582220 646535 1293070 2586140 5560201 11120402 22240804 27801005 55602010 111204020