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20100101022222 = 23138312758741647
BaseRepresentation
bin1001001000111111010110…
…11000011010001000001110
32122011112212121012022100020
410210133223120122020032
510113310001330202342
6110425505310243010
74143120145460544
oct444375330321016
978145777168306
1020100101022222
11644a450022681
12230764b1b6466
13b2a57ba04330
144d6bc8897d94
1524ccb2dc80ec
hex1247eb61a20e

20100101022222 has 128 divisors (see below), whose sum is σ = 44235405656064. Its totient is φ = 6051548942208.

The previous prime is 20100101022193. The next prime is 20100101022223. The reversal of 20100101022222 is 22222010100102.

It is a super-2 number, since 2×201001010222222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100101022223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482609403 + ... + 482651049.

It is an arithmetic number, because the mean of its divisors is an integer number (345589106688).

Almost surely, 220100101022222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100101022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22117702828032).

20100101022222 is an abundant number, since it is smaller than the sum of its proper divisors (24135304633842).

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

20100101022222 is a wasteful number, since it uses less digits than its factorization.

20100101022222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42462.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20100101022222 its reverse (22222010100102), we get a palindrome (42322111122324).

The spelling of 20100101022222 in words is "twenty trillion, one hundred billion, one hundred one million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 83 127 166 249 254 381 498 587 762 1079 1174 1651 1761 2158 3237 3302 3522 4953 6474 7631 9906 10541 15262 21082 22893 31623 41647 45786 48721 63246 74549 83294 97442 124941 137033 146163 149098 223647 249882 274066 292326 411099 447294 541411 633373 822198 969137 1082822 1266746 1624233 1900119 1938274 2907411 3248466 3456701 3800238 5289169 5814822 6187567 6913402 10370103 10578338 12375134 15867507 18562701 20740206 24446789 31735014 37125402 44937113 48893578 68759197 73340367 80438371 89874226 134811339 137518394 146680734 160876742 206277591 241315113 269622678 317808257 412555182 439001027 482630226 635616514 878002054 953424771 1317003081 1906849542 2029083487 2634006162 3104742203 4058166974 5707013351 6087250461 6209484406 9314226609 11414026702 12174500922 17121040053 18628453218 26378085331 34242080106 40361648639 52756170662 79134255993 80723297278 121084945917 158268511986 242169891834 257693602849 515387205698 773080808547 1546161617094 3350016837037 6700033674074 10050050511111 20100101022222