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100221212 = 227132311971
BaseRepresentation
bin1011111100101…
…00000100011100
320222120202122202
411332110010130
5201124034322
613540031032
72324603060
oct576240434
9228522582
10100221212
1151632753
1229692478
13179c03c0
14d44baa0
158bea292
hex5f9411c

100221212 has 48 divisors (see below), whose sum is σ = 225265152. Its totient is φ = 37920960.

The previous prime is 100221211. The next prime is 100221221. The reversal of 100221212 is 212122001.

It is a happy number.

100221212 is nontrivially palindromic in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 100221193 and 100221202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2387 + ... + 14357.

It is an arithmetic number, because the mean of its divisors is an integer number (4693024).

Almost surely, 2100221212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112632576).

100221212 is an abundant number, since it is smaller than the sum of its proper divisors (125043940).

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

100221212 is a wasteful number, since it uses less digits than its factorization.

100221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12018 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 100221212 is about 10011.0544899126. The cubic root of 100221212 is about 464.5008896818.

Adding to 100221212 its reverse (212122001), we get a palindrome (312343213).

The spelling of 100221212 in words is "one hundred million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4186 8372 11971 23942 47884 83797 155623 167594 275333 311246 335188 550666 622492 1089361 1101332 1927331 2178722 3579329 3854662 4357444 7158658 7709324 14317316 25055303 50110606 100221212