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223102100032112 = 24722359209704499
BaseRepresentation
bin110010101110100100000001…
…011010111100101001110000
31002020221100111221120212102002
4302232210001122330221300
5213220301100102011422
62110255405001113132
764664411006501600
oct6256440132745160
91066840457525362
10223102100032112
11650a6084232394
1221032821a887a8
13976458c9b18a2
143d142b0a92c00
151abd5e6e25692
hexcae9016bca70

223102100032112 has 120 divisors (see below), whose sum is σ = 533588906160000. Its totient is φ = 89907867654528.

The previous prime is 223102100032087. The next prime is 223102100032127. The reversal of 223102100032112 is 211230001201322.

It is a super-3 number, since 3×2231021000321123 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103788362 + ... + 105916137.

It is an arithmetic number, because the mean of its divisors is an integer number (4446574218000).

Almost surely, 2223102100032112 is an apocalyptic number.

It is an amenable number.

223102100032112 is an abundant number, since it is smaller than the sum of its proper divisors (310486806127888).

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

223102100032112 is a wasteful number, since it uses less digits than its factorization.

223102100032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209704603 (or 209704590 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 223102100032112 its reverse (211230001201322), we get a palindrome (434332101233434).

The spelling of 223102100032112 in words is "two hundred twenty-three trillion, one hundred two billion, one hundred million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 59 92 98 112 118 161 184 196 236 322 368 392 413 472 644 784 826 944 1127 1288 1357 1652 2254 2576 2714 2891 3304 4508 5428 5782 6608 9016 9499 10856 11564 18032 18998 21712 23128 37996 46256 66493 75992 132986 151984 265972 531944 1063888 209704499 419408998 838817996 1467931493 1677635992 2935862986 3355271984 4823203477 5871725972 9646406954 10275520451 11743451944 12372565441 19292813908 20551040902 23486903888 24745130882 33762424339 38585627816 41102081804 49490261764 67524848678 77171255632 82204163608 86607958087 98980523528 135049697356 164408327216 173215916174 197961047056 236336970373 270099394712 284569005143 346431832348 472673940746 540198789424 569138010286 606255706609 692863664696 945347881492 1138276020572 1212511413218 1385727329392 1890695762984 1991983036001 2276552041144 2425022826436 3781391525968 3983966072002 4553104082288 4850045652872 7967932144004 9700091305744 13943881252007 15935864288008 27887762504014 31871728576016 55775525008028 111551050016056 223102100032112