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110020112000 = 27536876257
BaseRepresentation
bin110011001110110110…
…1011010111010000000
3101111222111020202211222
41212131231122322000
53300310122041000
6122313104454212
710643254344011
oct1463555327200
9344874222758
10110020112000
11427285375a7
12193a561a368
13a4b471c2b6
145479b3b008
152cddc6ba85
hex199db5ae80

110020112000 has 64 divisors (see below), whose sum is σ = 273537543240. Its totient is φ = 44008038400.

The previous prime is 110020111987. The next prime is 110020112011. The reversal of 110020112000 is 211020011.

It can be written as a sum of positive squares in 4 ways, for example, as 14024243776 + 95995868224 = 118424^2 + 309832^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (8).

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 7 ways as a sum of consecutive naturals, for example, 3422129 + ... + 3454128.

Almost surely, 2110020112000 is an apocalyptic number.

110020112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110020112000 is an abundant number, since it is smaller than the sum of its proper divisors (163517431240).

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

110020112000 is an frugal number, since it uses more digits than its factorization.

110020112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876286 (or 6876264 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110020112000 its reverse (211020011), we get a palindrome (110231132011).

The spelling of 110020112000 in words is "one hundred ten billion, twenty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 6876257 13752514 27505028 34381285 55010056 68762570 110020112 137525140 171906425 220040224 275050280 343812850 440080448 550100560 687625700 859532125 880160896 1100201120 1375251400 1719064250 2200402240 2750502800 3438128500 4400804480 5501005600 6876257000 11002011200 13752514000 22004022400 27505028000 55010056000 110020112000