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221102221210120 = 235171073038788087
BaseRepresentation
bin110010010001011101011111…
…010110101011001000001000
31001222212011110221202111102101
4302101131133112223020020
5212440014322112210440
62102124542545243144
764400052105132265
oct6221353726531010
91058764427674371
10221102221210120
11644a4a1a828418
122096b1126334b4
13964ab085976a3
143c8559434826c
151a865998d269a
hexc9175f5ab208

221102221210120 has 64 divisors (see below), whose sum is σ = 531666363876480. Its totient is φ = 82460553501696.

The previous prime is 221102221210109. The next prime is 221102221210127. The reversal of 221102221210120 is 21012122201122.

It is not an unprimeable number, because it can be changed into a prime (221102221210127) 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 15 ways as a sum of consecutive naturals, for example, 1519321284 + ... + 1519466803.

It is an arithmetic number, because the mean of its divisors is an integer number (8307286935570).

Almost surely, 2221102221210120 is an apocalyptic number.

221102221210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102221210120 is an abundant number, since it is smaller than the sum of its proper divisors (310564142666360).

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

221102221210120 is a wasteful number, since it uses less digits than its factorization.

221102221210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038788222 (or 3038788218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221102221210120 its reverse (21012122201122), we get a palindrome (242114343411242).

The spelling of 221102221210120 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 107 136 170 214 340 428 535 680 856 1070 1819 2140 3638 4280 7276 9095 14552 18190 36380 72760 3038788087 6077576174 12155152348 15193940435 24310304696 30387880870 51659397479 60775761740 103318794958 121551523480 206637589916 258296987395 325150325309 413275179832 516593974790 650300650618 1033187949580 1300601301236 1625751626545 2066375899160 2601202602472 3251503253090 5527555530253 6503006506180 11055111060506 13006013012360 22110222121012 27637777651265 44220444242024 55275555302530 110551110605060 221102221210120