Search a number
-
+
111220020 = 22335205963
BaseRepresentation
bin1101010000100…
…01010100110100
321202021120012000
412220101110310
5211433020040
615011455300
72520232422
oct650212464
9252246160
10111220020
115786527a
12312b7530
131a071782
1410ab2112
159b6e130
hex6a11534

111220020 has 48 divisors (see below), whose sum is σ = 346019520. Its totient is φ = 29658528.

The previous prime is 111219991. The next prime is 111220037. The reversal of 111220020 is 20022111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111219984 and 111220011.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 102442 + ... + 103521.

It is an arithmetic number, because the mean of its divisors is an integer number (7208740).

Almost surely, 2111220020 is an apocalyptic number.

111220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111220020 is an abundant number, since it is smaller than the sum of its proper divisors (234799500).

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

111220020 is a wasteful number, since it uses less digits than its factorization.

111220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205981 (or 205973 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 111220020 is about 10546.0902708065. The cubic root of 111220020 is about 480.9068792751.

Adding to 111220020 its reverse (20022111), we get a palindrome (131242131).

The spelling of 111220020 in words is "one hundred eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 205963 411926 617889 823852 1029815 1235778 1853667 2059630 2471556 3089445 3707334 4119260 5561001 6178890 7414668 9268335 11122002 12357780 18536670 22244004 27805005 37073340 55610010 111220020