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201001211022222 = 2321321722811703983
BaseRepresentation
bin101101101100111100111101…
…110010000100101110001110
3222100200112020222210210020100
4231230330331302010232032
5202321200440010202342
61551254403120231530
760223600246506552
oct5554747562045616
9870615228723210
10201001211022222
1159055153593156
121a66346aa6b5a6
13882044340ab00
14378c720c29862
151838781cbbe4c
hexb6cf3dc84b8e

201001211022222 has 144 divisors (see below), whose sum is σ = 499538947497408. Its totient is φ = 58182942504960.

The previous prime is 201001211022181. The next prime is 201001211022259. The reversal of 201001211022222 is 222220112100102.

It is a happy number.

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 = 201001211022195 and 201001211022204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117107643 + ... + 118811625.

It is an arithmetic number, because the mean of its divisors is an integer number (3469020468732).

Almost surely, 2201001211022222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201001211022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249769473748704).

201001211022222 is an abundant number, since it is smaller than the sum of its proper divisors (298537736475186).

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

201001211022222 is a wasteful number, since it uses less digits than its factorization.

201001211022222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706315 (or 1706299 counting only the distinct ones).

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

Adding to 201001211022222 its reverse (222220112100102), we get a palindrome (423221323122324).

The spelling of 201001211022222 in words is "two hundred one trillion, one billion, two hundred eleven million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 234 306 338 442 507 663 1014 1326 1521 1989 2281 2873 3042 3978 4562 5746 6843 8619 13686 17238 20529 25857 29653 38777 41058 51714 59306 77554 88959 116331 177918 232662 266877 348993 385489 504101 533754 697986 770978 1008202 1156467 1512303 1703983 2312934 3024606 3407966 3469401 4536909 5111949 6553313 6938802 9073818 10223898 13106626 15335847 19659939 22151779 28967711 30671694 39319878 44303558 57935422 58979817 66455337 86903133 117959634 132910674 173806266 199366011 260709399 287973127 376580243 398732022 521418798 575946254 753160486 863919381 1129740729 1727838762 2259481458 2591758143 3389222187 3886785223 4895543159 5183516286 6778444374 7773570446 9791086318 11660355669 14686629477 23320711338 29373258954 34981067007 44059888431 50528207899 66075348791 69962134014 88119776862 101056415798 132150697582 151584623697 198226046373 303169247394 396452092746 454753871091 594678139119 656866702687 858979534283 909507742182 1189356278238 1313733405374 1717959068566 1970600108061 2576938602849 3941200216122 5153877205698 5911800324183 7730815808547 11166733945679 11823600648366 15461631617094 22333467891358 33500201837037 67000403674074 100500605511111 201001211022222