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132022220121216 = 2732771911484663
BaseRepresentation
bin11110000001001011010001…
…100010000110010010000000
3122022110012102111221020202100
4132001023101202012102000
5114301023001322334331
61144442100505150400
736544201455135165
oct3601132142062200
9568405374836670
10132022220121216
113908034449aa57
121298295a48b400
13588884644c179
142485ca3b2c06c
15103e303185ae6
hex7812d1886480

132022220121216 has 96 divisors (see below), whose sum is σ = 379912868262720. Its totient is φ = 44006806955520.

The previous prime is 132022220121167. The next prime is 132022220121217. The reversal of 132022220121216 is 612121022220231.

132022220121216 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 222 + 201 + 21 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 132022220121216.

It is not an unprimeable number, because it can be changed into a prime (132022220121217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88181701 + ... + 89666363.

It is an arithmetic number, because the mean of its divisors is an integer number (3957425711070).

Almost surely, 2132022220121216 is an apocalyptic number.

132022220121216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132022220121216 is an abundant number, since it is smaller than the sum of its proper divisors (247890648141504).

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

132022220121216 is a wasteful number, since it uses less digits than its factorization.

132022220121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561874 (or 1561859 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132022220121216 its reverse (612121022220231), we get a palindrome (744143242341447).

The spelling of 132022220121216 in words is "one hundred thirty-two trillion, twenty-two billion, two hundred twenty million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 77191 154382 231573 308764 463146 617528 694719 926292 1235056 1389438 1484663 1852584 2470112 2778876 2969326 3705168 4453989 4940224 5557752 5938652 7410336 8907978 9880448 11115504 11877304 13361967 14820672 17815956 22231008 23754608 26723934 29641344 35631912 44462016 47509216 53447868 71263824 88924032 95018432 106895736 142527648 190036864 213791472 285055296 427582944 570110592 855165888 1710331776 114602621633 229205243266 343807864899 458410486532 687615729798 916820973064 1031423594697 1375231459596 1833641946128 2062847189394 2750462919192 3667283892256 4125694378788 5500925838384 7334567784512 8251388757576 11001851676768 14669135569024 16502777515152 22003703353536 33005555030304 44007406707072 66011110060608 132022220121216