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212221130022 = 232117933914001
BaseRepresentation
bin1100010110100101011…
…1010111010100100110
3202021210001111102012200
43011221113113110212
511434112102130042
6241254255155330
721222015561456
oct3055127272446
9667701442180
10212221130022
1182003328060
1235168515b46
1317021228865
14a3b3221d66
1557c1324c4c
hex31695d7526

212221130022 has 96 divisors (see below), whose sum is σ = 508239912960. Its totient is φ = 63460800000.

The previous prime is 212221129957. The next prime is 212221130039. The reversal of 212221130022 is 220031122212.

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 = 212221129977 and 212221130004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53040022 + ... + 53044022.

It is an arithmetic number, because the mean of its divisors is an integer number (5294165760).

Almost surely, 2212221130022 is an apocalyptic number.

212221130022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 212221130022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254119956480).

212221130022 is an abundant number, since it is smaller than the sum of its proper divisors (296018782938).

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

212221130022 is a wasteful number, since it uses less digits than its factorization.

212221130022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7490 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212221130022 its reverse (220031122212), we get a palindrome (432252252234).

It can be divided in two parts, 212221 and 130022, that added together give a palindrome (342243).

The spelling of 212221130022 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1422 1738 2607 3391 4001 5214 6782 7821 8002 10173 12003 15642 20346 24006 30519 36009 37301 44011 61038 72018 74602 88022 111903 132033 223806 264066 267889 316079 335709 396099 535778 632158 671418 792198 803667 948237 1607334 1896474 2411001 2844711 2946779 3476869 4822002 5689422 5893558 6953738 8840337 10430607 13567391 17680674 20861214 26521011 27134782 31291821 40702173 53042022 62583642 81404346 122106519 149241301 244213038 298482602 447723903 895447806 1071823889 1343171709 2143647778 2686343418 3215471667 6430943334 9646415001 11790062779 19292830002 23580125558 35370188337 70740376674 106110565011 212221130022