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201011020220112 = 243239353444111177
BaseRepresentation
bin101101101101000110000110…
…011101001100011011010000
3222100201110120121112200001220
4231231012012131030123100
5202321331032134020422
61551303104325325040
760224365316353254
oct5555060635143320
9870643517480056
10201011020220112
1159059327627773
121a665347b66780
13882134771170b
14378cdb18c2264
151838b5803ae5c
hexb6d18674c6d0

201011020220112 has 160 divisors (see below), whose sum is σ = 523092927767040. Its totient is φ = 66513372119040.

The previous prime is 201011020220111. The next prime is 201011020220149. The reversal of 201011020220112 is 211022020110102.

201011020220112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201011020220091 and 201011020220100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201011020220111) 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 31 ways as a sum of consecutive naturals, for example, 17984339068 + ... + 17984350244.

It is an arithmetic number, because the mean of its divisors is an integer number (3269330798544).

Almost surely, 2201011020220112 is an apocalyptic number.

It is an amenable number.

201011020220112 is an abundant number, since it is smaller than the sum of its proper divisors (322081907546928).

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

201011020220112 is a wasteful number, since it uses less digits than its factorization.

201011020220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16221 (or 16215 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201011020220112 its reverse (211022020110102), we get a palindrome (412033040330214).

The spelling of 201011020220112 in words is "two hundred one trillion, eleven billion, twenty million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 239 353 478 706 717 956 1059 1412 1434 1912 2118 2824 2868 3824 4236 4441 5648 5736 8472 8882 11177 11472 13323 16944 17764 22354 26646 33531 35528 44708 53292 67062 71056 84367 89416 106584 134124 168734 178832 213168 253101 268248 337468 506202 536496 674936 1012404 1061399 1349872 1567673 2024808 2122798 2671303 3135346 3184197 3945481 4049616 4245596 4703019 5342606 6270692 6368394 7890962 8013909 8491192 9406038 10685212 11836443 12541384 12736788 15781924 16027818 16982384 18812076 21370424 23672886 25082768 25473576 31563848 32055636 37624152 42740848 47345772 49637057 50947152 63127696 64111272 75248304 94691544 99274114 128222544 148911171 189383088 198548228 297822342 374673847 397096456 595644684 749347694 794192912 942969959 1124021541 1191289368 1498695388 1885939918 2248043082 2382578736 2828909877 2997390776 3771879836 4496086164 5657819754 5994781552 7543759672 8992172328 11315639508 11863256623 15087519344 17521881121 17984344656 22631279016 23726513246 35043762242 35589769869 45262558032 47453026492 52565643363 70087524484 71179539738 94906052984 105131286726 140175048968 142359079476 189812105968 210262573452 280350097936 284718158952 420525146904 569436317904 841050293808 4187729587919 8375459175838 12563188763757 16750918351676 25126377527514 33501836703352 50252755055028 67003673406704 100505510110056 201011020220112