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100221210196 = 22109797288413
BaseRepresentation
bin101110101010110100…
…1100100111001010100
3100120200120212222120221
41131111221210321110
53120223112211241
6114012504204124
710145401142122
oct1352551447124
9316616788527
10100221210196
113955a295648
121750ba69644
1395b25b1c53
144bca5a4912
1529188835d1
hex1755a64e54

100221210196 has 24 divisors (see below), whose sum is σ = 177218866440. Its totient is φ = 49588405632.

The previous prime is 100221210163. The next prime is 100221210197. The reversal of 100221210196 is 691012122001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36699064900 + 63522145296 = 191570^2 + 252036^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100221210196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221210197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203286 + ... + 491698.

It is an arithmetic number, because the mean of its divisors is an integer number (7384119435).

Almost surely, 2100221210196 is an apocalyptic number.

It is an amenable number.

100221210196 is a deficient number, since it is larger than the sum of its proper divisors (76997656244).

100221210196 is a wasteful number, since it uses less digits than its factorization.

100221210196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289323 (or 289321 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 100221210196 its reverse (691012122001), we get a palindrome (791233332197).

The spelling of 100221210196 in words is "one hundred billion, two hundred twenty-one million, two hundred ten thousand, one hundred ninety-six".

Divisors: 1 2 4 109 218 436 797 1594 3188 86873 173746 288413 347492 576826 1153652 31437017 62874034 125748068 229865161 459730322 919460644 25055302549 50110605098 100221210196