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100221330 = 235112691129
BaseRepresentation
bin1011111100101…
…00000110010010
320222120202211010
411332110012102
5201124040310
613540031350
72324603316
oct576240622
9228522733
10100221330
1151632850
1229692556
13179c0481
14d44bb46
158bea320
hex5f94192

100221330 has 64 divisors (see below), whose sum is σ = 263606400. Its totient is φ = 24184320.

The previous prime is 100221323. The next prime is 100221367. The reversal of 100221330 is 33122001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88206 + ... + 89334.

It is an arithmetic number, because the mean of its divisors is an integer number (4118850).

Almost surely, 2100221330 is an apocalyptic number.

100221330 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 100221330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131803200).

100221330 is an abundant number, since it is smaller than the sum of its proper divisors (163385070).

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

100221330 is a wasteful number, since it uses less digits than its factorization.

100221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 100221330 is about 10011.0603833960. The cubic root of 100221330 is about 464.5010719821.

Adding to 100221330 its reverse (33122001), we get a palindrome (133343331).

The spelling of 100221330 in words is "one hundred million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 269 330 538 807 1129 1345 1614 2258 2690 2959 3387 4035 5645 5918 6774 8070 8877 11290 12419 14795 16935 17754 24838 29590 33870 37257 44385 62095 74514 88770 124190 186285 303701 372570 607402 911103 1518505 1822206 3037010 3340711 4555515 6681422 9111030 10022133 16703555 20044266 33407110 50110665 100221330