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20021222101122 = 23311198919932443
BaseRepresentation
bin1001000110101100011011…
…10101001101000010000010
32121220000021101120221111000
410203112031311031002002
510111011430324213442
6110325342241232430
74134325355633544
oct443261565150202
977800241527430
1020021222101122
116419a52a18790
1222b42b6932716
13b22cbac20718
144d3064987694
1524abe8055d4c
hex12358dd4d082

20021222101122 has 128 divisors (see below), whose sum is σ = 51664894848000. Its totient is φ = 5683137863040.

The previous prime is 20021222100961. The next prime is 20021222101171. The reversal of 20021222101122 is 22110122212002.

It is a happy number.

20021222101122 is a `hidden beast` number, since 200 + 21 + 222 + 101 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20021222101095 and 20021222101104.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8961768 + ... + 10970675.

It is an arithmetic number, because the mean of its divisors is an integer number (403631991000).

Almost surely, 220021222101122 is an apocalyptic number.

20021222101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20021222101122 is an abundant number, since it is smaller than the sum of its proper divisors (31643672746878).

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

20021222101122 is a wasteful number, since it uses less digits than its factorization.

20021222101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19932573 (or 19932567 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20021222101122 its reverse (22110122212002), we get a palindrome (42131344313124).

The spelling of 20021222101122 in words is "twenty trillion, twenty-one billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 89 99 114 171 178 198 209 267 297 342 418 513 534 594 627 801 979 1026 1254 1602 1691 1881 1958 2403 2937 3382 3762 4806 5073 5643 5874 8811 10146 11286 15219 17622 18601 26433 30438 37202 45657 52866 55803 91314 111606 167409 334818 502227 1004454 19932443 39864886 59797329 119594658 179391987 219256873 358783974 378716417 438513746 538175961 657770619 757432834 1076351922 1136149251 1315541238 1773987427 1973311857 2272298502 3408447753 3547974854 3946623714 4165880587 5321962281 5919935571 6816895506 8331761174 10225343259 10643924562 11839871142 12497641761 15965886843 19513861697 20450686518 24995283522 31931773686 33705761113 37492925283 39027723394 47897660529 58541585091 67411522226 74985850566 95795321058 101117283339 112478775849 117083170182 175624755273 202234566678 224957551698 303351850017 351249510546 370763372243 526874265819 606703700034 741526744486 910055550051 1053748531638 1112290116729 1820111100102 2224580233458 3336870350187 6673740700374 10010611050561 20021222101122