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220122122321010 = 235713174742989061
BaseRepresentation
bin110010000011001100101100…
…111010000111110001110010
31001212101110200011210020211110
4302003030230322013301302
5212322440101303233020
62100054412412454150
764236204252052560
oct6203145472076162
91055343604706743
10220122122321010
11641572a4529708
122083118547a356
1395a9572361810
143c4dd79004a30
151a6ad353a18e0
hexc8332ce87c72

220122122321010 has 128 divisors (see below), whose sum is σ = 688454348327424. Its totient is φ = 43711387176960.

The previous prime is 220122122320979. The next prime is 220122122321011. The reversal of 220122122321010 is 10123221221022.

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

It is not an unprimeable number, because it can be changed into a prime (220122122321011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2371448121 + ... + 2371540940.

It is an arithmetic number, because the mean of its divisors is an integer number (5378549596308).

Almost surely, 2220122122321010 is an apocalyptic number.

220122122321010 is an abundant number, since it is smaller than the sum of its proper divisors (468332226006414).

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

220122122321010 is a wasteful number, since it uses less digits than its factorization.

220122122321010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742989108.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 220122122321010 its reverse (10123221221022), we get a palindrome (230245343542032).

The spelling of 220122122321010 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, three hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 17 21 26 30 34 35 39 42 51 65 70 78 85 91 102 105 119 130 170 182 195 210 221 238 255 273 357 390 442 455 510 546 595 663 714 910 1105 1190 1326 1365 1547 1785 2210 2730 3094 3315 3570 4641 6630 7735 9282 15470 23205 46410 4742989061 9485978122 14228967183 23714945305 28457934366 33200923427 47429890610 61658857793 66401846854 71144835915 80630814037 99602770281 123317715586 142289671830 161261628074 166004617135 184976573379 199205540562 241892442111 308294288965 332009234270 369953146758 403154070185 431612004551 483784884222 498013851405 564415698259 616588577930 806308140370 863224009102 924882866895 996027702810 1048200582481 1128831396518 1209462210555 1294836013653 1693247094777 1849765733790 2096401164962 2158060022755 2418924421110 2589672027306 2822078491295 3144601747443 3386494189554 4316120045510 5241002912405 5644156982590 6289203494886 6474180068265 7337404077367 8466235473885 10482005824810 12948360136530 14674808154734 15723008737215 16932470947770 22012212232101 31446017474430 36687020386835 44024424464202 73374040773670 110061061160505 220122122321010