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112203021330 = 23253755760493
BaseRepresentation
bin110100001111111010…
…0100011110000010010
3101201121121210001111200
41220133310203300102
53314242433140310
6123313444052030
711051331642111
oct1503764436022
9351547701450
10112203021330
11436487536a4
12198b4694016
13a771a4881a
145605a09c78
152dba70e9c0
hex1a1fd23c12

112203021330 has 96 divisors (see below), whose sum is σ = 300155257584. Its totient is φ = 29059388928.

The previous prime is 112203021299. The next prime is 112203021341. The reversal of 112203021330 is 33120302211.

112203021330 is a `hidden beast` number, since 1 + 12 + 20 + 302 + 1 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 72878941521 + 39324079809 = 269961^2 + 198303^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1824564 + ... + 1885056.

Almost surely, 2112203021330 is an apocalyptic number.

112203021330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112203021330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150077628792).

112203021330 is an abundant number, since it is smaller than the sum of its proper divisors (187952236254).

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

112203021330 is a wasteful number, since it uses less digits than its factorization.

112203021330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61100 (or 61097 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112203021330 its reverse (33120302211), we get a palindrome (145323323541).

The spelling of 112203021330 in words is "one hundred twelve billion, two hundred three million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 557 666 1110 1114 1665 1671 2785 3330 3342 5013 5570 8355 10026 16710 20609 25065 41218 50130 60493 61827 103045 120986 123654 181479 185481 206090 302465 309135 362958 370962 544437 604930 618270 907395 927405 1088874 1814790 1854810 2238241 2722185 4476482 5444370 6714723 11191205 13429446 20144169 22382410 33573615 33694601 40288338 67147230 67389202 100720845 101083803 168473005 201441690 202167606 303251409 336946010 505419015 606502818 1010838030 1246700237 1516257045 2493400474 3032514090 3740100711 6233501185 7480201422 11220302133 12467002370 18700503555 22440604266 37401007110 56101510665 112203021330