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110120110020 = 223253791614191
BaseRepresentation
bin110011010001110101…
…0111000011111000100
3101112020110102012100100
41212203222320133010
53301011222010040
6122331040044100
710645610330304
oct1464352703704
9345213365310
10110120110020
1142779a27598
1219413003630
13a4cc361c1b
14548912b604
152ce7920b30
hex19a3ab87c4

110120110020 has 72 divisors (see below), whose sum is σ = 334912556160. Its totient is φ = 29287863360.

The previous prime is 110120109991. The next prime is 110120110069. The reversal of 110120110020 is 20011021011.

It is a happy number.

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 = 110120109984 and 110120110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738876 + ... + 875315.

It is an arithmetic number, because the mean of its divisors is an integer number (4651563280).

Almost surely, 2110120110020 is an apocalyptic number.

110120110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120110020 is an abundant number, since it is smaller than the sum of its proper divisors (224792446140).

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

110120110020 is a wasteful number, since it uses less digits than its factorization.

110120110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614585 (or 1614580 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110120110020 its reverse (20011021011), we get a palindrome (130131131031).

The spelling of 110120110020 in words is "one hundred ten billion, one hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 379 758 1137 1516 1895 2274 3411 3790 4548 5685 6822 7580 11370 13644 17055 22740 34110 68220 1614191 3228382 4842573 6456764 8070955 9685146 14527719 16141910 19370292 24212865 29055438 32283820 48425730 58110876 72638595 96851460 145277190 290554380 611778389 1223556778 1835335167 2447113556 3058891945 3670670334 5506005501 6117783890 7341340668 9176675835 11012011002 12235567780 18353351670 22024022004 27530027505 36706703340 55060055010 110120110020