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100221102220 = 22571659107099
BaseRepresentation
bin101110101010110100…
…1001010100010001100
3100120200120200111110211
41131111221022202030
53120223100232340
6114012502012204
710145400212251
oct1352551124214
9316616614424
10100221102220
113955a221508
121750ba17064
1395b2574a65
144bca577428
1529188615ea
hex1755a4a88c

100221102220 has 48 divisors (see below), whose sum is σ = 213754464000. Its totient is φ = 39463471040.

The previous prime is 100221102181. The next prime is 100221102239. The reversal of 100221102220 is 22201122001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100221102220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882231 + ... + 989329.

It is an arithmetic number, because the mean of its divisors is an integer number (4453218000).

Almost surely, 2100221102220 is an apocalyptic number.

100221102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221102220 is an abundant number, since it is smaller than the sum of its proper divisors (113533361780).

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

100221102220 is a wasteful number, since it uses less digits than its factorization.

100221102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107838 (or 107836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100221102220 its reverse (22201122001), we get a palindrome (122422224221).

The spelling of 100221102220 in words is "one hundred billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 659 710 1318 1420 2636 3295 6590 13180 46789 93578 107099 187156 214198 233945 428396 467890 535495 935780 1070990 2141980 7604029 15208058 30416116 38020145 70578241 76040290 141156482 152080580 282312964 352891205 705782410 1411564820 5011055111 10022110222 20044220444 25055275555 50110551110 100221102220