Search a number
-
+
220122122212020 = 223574643911285779
BaseRepresentation
bin110010000011001100101100…
…111001101101001010110100
31001212101110200011120201022210
4302003030230321231022310
5212322440101241241040
62100054412410253420
764236204251120040
oct6203145471551264
91055343604521283
10220122122212020
11641572a4464836
1220831185427270
1395a9572324022
143c4dd78db7020
151a6ad3537e480
hexc8332ce6d2b4

220122122212020 has 96 divisors (see below), whose sum is σ = 704406021580800. Its totient is φ = 50312540041344.

The previous prime is 220122122212001. The next prime is 220122122212039. The reversal of 220122122212020 is 20212221221022.

It is an interprime number because it is at equal distance from previous prime (220122122212001) and next prime (220122122212039).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13861491 + ... + 25147269.

It is an arithmetic number, because the mean of its divisors is an integer number (7337562724800).

Almost surely, 2220122122212020 is an apocalyptic number.

220122122212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122122212020 is an abundant number, since it is smaller than the sum of its proper divisors (484283899368780).

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

220122122212020 is a wasteful number, since it uses less digits than its factorization.

220122122212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11332237 (or 11332235 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 220122122212020 its reverse (20212221221022), we get a palindrome (240334343433042).

The spelling of 220122122212020 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 46439 92878 139317 185756 232195 278634 325073 464390 557268 650146 696585 928780 975219 1300292 1393170 1625365 1950438 2786340 3250730 3900876 4876095 6501460 9752190 11285779 19504380 22571558 33857337 45143116 56428895 67714674 79000453 112857790 135429348 158000906 169286685 225715580 237001359 316001812 338573370 395002265 474002718 677146740 790004530 948005436 1185006795 1580009060 2370013590 4740027180 524100290981 1048200581962 1572300872943 2096401163924 2620501454905 3144601745886 3668702036867 5241002909810 6289203491772 7337404073734 7861504364715 10482005819620 11006106110601 14674808147468 15723008729430 18343510184335 22012212221202 31446017458860 36687020368670 44024424442404 55030530553005 73374040737340 110061061106010 220122122212020