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1020120200 = 2352111014591
BaseRepresentation
bin111100110011011…
…100110010001000
32122002112110211122
4330303130302020
54042122321300
6245120414412
734164610241
oct7463346210
92562473748
101020120200
11483916450
12245777408
13133463228
14996a7cc8
155e857c85
hex3ccdcc88

1020120200 has 96 divisors (see below), whose sum is σ = 2613582720. Its totient is φ = 367200000.

The previous prime is 1020120197. The next prime is 1020120247. The reversal of 1020120200 is 20210201.

1020120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 219905 + ... + 224495.

It is an arithmetic number, because the mean of its divisors is an integer number (27224820).

Almost surely, 21020120200 is an apocalyptic number.

1020120200 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 1020120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306791360).

1020120200 is an abundant number, since it is smaller than the sum of its proper divisors (1593462520).

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

1020120200 is a wasteful number, since it uses less digits than its factorization.

1020120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4710 counting only the distinct ones).

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

The square root of 1020120200 is about 31939.3205939012. The cubic root of 1020120200 is about 1006.6622491997.

Adding to 1020120200 its reverse (20210201), we get a palindrome (1040330401).

Subtracting from 1020120200 its reverse (20210201), we obtain a palindrome (999909999).

The spelling of 1020120200 in words is "one billion, twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 4591 5050 5555 8888 9182 10100 11110 18364 20200 22220 22955 27775 36728 44440 45910 50501 55550 91820 101002 111100 114775 183640 202004 222200 229550 252505 404008 459100 463691 505010 918200 927382 1010020 1262525 1854764 2020040 2318455 2525050 3709528 4636910 5050100 5100601 9273820 10100200 10201202 11592275 18547640 20402404 23184550 25503005 40804808 46369100 51006010 92738200 102012020 127515025 204024040 255030050 510060100 1020120200