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1100232012200 = 235273137550061
BaseRepresentation
bin10000000000101010111…
…100000011000110101000
310220011220001122012122012
4100000222330003012220
5121011233343342300
62201234542215052
7142326526540646
oct20005274030650
93804801565565
101100232012200
11394673319212
12159295584488
137c99cb903b9
143b374220196
151d946030435
hex1002af031a8

1100232012200 has 96 divisors (see below), whose sum is σ = 2612013411960. Its totient is φ = 430895001600.

The previous prime is 1100232012181. The next prime is 1100232012233. The reversal of 1100232012200 is 22102320011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 294521119204 + 805710892996 = 542698^2 + 897614^2 .

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, 1725170 + ... + 2275230.

Almost surely, 21100232012200 is an apocalyptic number.

1100232012200 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 1100232012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306006705980).

1100232012200 is an abundant number, since it is smaller than the sum of its proper divisors (1511781399760).

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

1100232012200 is a wasteful number, since it uses less digits than its factorization.

1100232012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550287 (or 550278 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1100232012200 its reverse (22102320011), we get a palindrome (1122334332211).

The spelling of 1100232012200 in words is "one trillion, one hundred billion, two hundred thirty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 137 146 200 274 292 365 548 584 685 730 1096 1370 1460 1825 2740 2920 3425 3650 5480 6850 7300 10001 13700 14600 20002 27400 40004 50005 80008 100010 200020 250025 400040 500050 550061 1000100 1100122 2000200 2200244 2750305 4400488 5500610 11001220 13751525 22002440 27503050 40154453 55006100 75358357 80308906 110012200 150716714 160617812 200772265 301433428 321235624 376791785 401544530 602866856 753583570 803089060 1003861325 1507167140 1606178120 1883958925 2007722650 3014334280 3767917850 4015445300 5501160061 7535835700 8030890600 11002320122 15071671400 22004640244 27505800305 44009280488 55011600610 110023201220 137529001525 220046402440 275058003050 550116006100 1100232012200