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100221221200 = 24522310893611
BaseRepresentation
bin101110101010110100…
…1100111100101010000
3100120200120220112200111
41131111221213211100
53120223113034300
6114012504331104
710145401216162
oct1352551474520
9316616815614
10100221221200
113955a2a2941
121750ba73a94
1395b25b6c69
144bca5a8932
1529188869ba
hex1755a67950

100221221200 has 60 divisors (see below), whose sum is σ = 251250267168. Its totient is φ = 38345507200.

The previous prime is 100221221171. The next prime is 100221221209. The reversal of 100221221200 is 2122122001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221221209) 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 11 ways as a sum of consecutive naturals, for example, 5437606 + ... + 5456005.

Almost surely, 2100221221200 is an apocalyptic number.

100221221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221221200 is an abundant number, since it is smaller than the sum of its proper divisors (151029045968).

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

100221221200 is a wasteful number, since it uses less digits than its factorization.

100221221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10893652 (or 10893641 counting only the distinct ones).

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

Adding to 100221221200 its reverse (2122122001), we get a palindrome (102343343201).

The spelling of 100221221200 in words is "one hundred billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 10893611 21787222 43574444 54468055 87148888 108936110 174297776 217872220 250553053 272340275 435744440 501106106 544680550 871488880 1002212212 1089361100 1252765265 2004424424 2178722200 2505530530 4008848848 4357444400 5011061060 6263826325 10022122120 12527652650 20044244240 25055305300 50110610600 100221221200