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202230123220112 = 2413315788141593
BaseRepresentation
bin101101111110110101011110…
…101010000100110010010000
3222112001000021222220201121212
4231332311132222010302100
5203001314243021020422
61554035122553435252
760411433656031001
oct5576653652046220
9875030258821555
10202230123220112
115948934a47a469
121a82167710bb28
1388ac2ac8bb000
1437d1dc11171a8
15185a709d599e2
hexb7ed5ea84c90

202230123220112 has 160 divisors (see below), whose sum is σ = 427656434173920. Its totient is φ = 92634980106240.

The previous prime is 202230123220061. The next prime is 202230123220121. The reversal of 202230123220112 is 211022321032202.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 189933711342736 + 12296411877376 = 13781644^2 + 3506624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4862098388 + ... + 4862139980.

It is an arithmetic number, because the mean of its divisors is an integer number (2672852713587).

Almost surely, 2202230123220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202230123220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213828217086960).

202230123220112 is an abundant number, since it is smaller than the sum of its proper divisors (225426310953808).

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

202230123220112 is a wasteful number, since it uses less digits than its factorization.

202230123220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42678 (or 42646 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 202230123220112 its reverse (211022321032202), we get a palindrome (413252444252314).

The spelling of 202230123220112 in words is "two hundred two trillion, two hundred thirty billion, one hundred twenty-three million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 157 169 208 314 338 628 676 881 1256 1352 1762 2041 2197 2512 2704 3524 4082 4394 7048 8164 8788 11453 14096 16328 17576 22906 26533 32656 35152 41593 45812 53066 83186 91624 106132 138317 148889 166372 183248 212264 276634 297778 332744 344929 424528 540709 553268 595556 665488 689858 1081418 1106536 1191112 1379716 1798121 1935557 2162836 2213072 2382224 2759432 3596242 3871114 4325672 5518864 6530101 7029217 7192484 7742228 8651344 13060202 14058434 14384968 15484456 23375573 26120404 28116868 28769936 30968912 36643433 46751146 52240808 56233736 73286866 84891313 91379821 93502292 104481616 112467472 146573732 169782626 182759642 187004584 293147464 303882449 339565252 365519284 374009168 476364629 586294928 607764898 679130504 731038568 952729258 1103587069 1215529796 1358261008 1462077136 1905458516 2207174138 2431059592 3810917032 4414348276 4862119184 5753018981 6192740177 7621834064 8828696552 11506037962 12385480354 14346631897 17657393104 23012075924 24770960708 28693263794 46024151848 49541921416 57386527588 74789246753 80505622301 92048303696 99083842832 114773055176 149578493506 161011244602 229546110352 299156987012 322022489204 598313974024 644044978408 972260207789 1196627948048 1288089956816 1944520415578 3889040831156 7778081662312 12639382701257 15556163324624 25278765402514 50557530805028 101115061610056 202230123220112