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212013032022 = 232112357181533
BaseRepresentation
bin1100010101110011110…
…1100010001001010110
3202021020112220221102100
43011130331202021112
511433200314011042
6241221503022530
721213611015661
oct3053475421126
9667215827370
10212013032022
1181a06913a40
123510a89aa46
1316cba09764c
14a3937326d8
1557ace1b24c
hex315cf62256

212013032022 has 96 divisors (see below), whose sum is σ = 523831815936. Its totient is φ = 61344676800.

The previous prime is 212013032009. The next prime is 212013032051. The reversal of 212013032022 is 220230310212.

212013032022 is a `hidden beast` number, since 212 + 0 + 130 + 320 + 2 + 2 = 666.

212013032022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 212013031986 and 212013032004.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2559568 + ... + 2641100.

It is an arithmetic number, because the mean of its divisors is an integer number (5456581416).

Almost surely, 2212013032022 is an apocalyptic number.

212013032022 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 212013032022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261915907968).

212013032022 is an abundant number, since it is smaller than the sum of its proper divisors (311818783914).

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

212013032022 is a wasteful number, since it uses less digits than its factorization.

212013032022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82146 (or 82143 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212013032022 its reverse (220230310212), we get a palindrome (432243342234).

The spelling of 212013032022 in words is "two hundred twelve billion, thirteen million, thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 571 759 1142 1518 1713 2277 3426 4554 5139 6281 10278 12562 13133 18843 26266 37686 39399 56529 78798 81533 113058 118197 144463 163066 236394 244599 288926 433389 489198 733797 866778 896863 1300167 1467594 1793726 1875259 2600334 2690589 3750518 5381178 5625777 8071767 11251554 16143534 16877331 20627849 33754662 41255698 46555343 61883547 93110686 123767094 139666029 185650641 279332058 371301282 418998087 512108773 837996174 1024217546 1070772889 1536326319 2141545778 3072652638 3212318667 4608978957 6424637334 9217957914 9636956001 11778501779 19273912002 23557003558 35335505337 70671010674 106006516011 212013032022