Search a number
-
+
200101222010112 = 2836713129685367
BaseRepresentation
bin101101011111110110110010…
…010000011100110100000000
3222020111111020012200221112220
4231133312302100130310000
5202211424300313310422
61545325122104251040
760101556551231643
oct5537666220346400
9866444205627486
10200101222010112
11588384a7218765
121a538b5a470a80
138786605ccb117
14375ad450a3a5a
15182015a710e5c
hexb5fdb241cd00

200101222010112 has 144 divisors (see below), whose sum is σ = 544635784315392. Its totient is φ = 65203312711680.

The previous prime is 200101222010083. The next prime is 200101222010219. The reversal of 200101222010112 is 211010222101002.

It is a super-2 number, since 2×2001012220101122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200101222010091 and 200101222010100.

It is a congruent number.

It is an unprimeable number.

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, 8101948 + ... + 21583419.

Almost surely, 2200101222010112 is an apocalyptic number.

It is an amenable number.

200101222010112 is an abundant number, since it is smaller than the sum of its proper divisors (344534562305280).

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

200101222010112 is a wasteful number, since it uses less digits than its factorization.

200101222010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29685584 (or 29685570 counting only the distinct ones).

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

Adding to 200101222010112 its reverse (211010222101002), we get a palindrome (411111444111114).

The spelling of 200101222010112 in words is "two hundred trillion, one hundred one billion, two hundred twenty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 131 134 192 201 256 262 268 384 393 402 524 536 768 786 804 1048 1072 1572 1608 2096 2144 3144 3216 4192 4288 6288 6432 8384 8576 8777 12576 12864 16768 17152 17554 25152 25728 26331 33536 35108 50304 51456 52662 70216 100608 105324 140432 210648 280864 421296 561728 842592 1123456 1685184 2246912 3370368 6740736 29685367 59370734 89056101 118741468 178112202 237482936 356224404 474965872 712448808 949931744 1424897616 1899863488 1988919589 2849795232 3799726976 3888783077 3977839178 5699590464 5966758767 7599453952 7777566154 7955678356 11399180928 11666349231 11933517534 15555132308 15911356712 22798361856 23332698462 23867035068 31110264616 31822713424 46665396924 47734070136 62220529232 63645426848 93330793848 95468140272 124441058464 127290853696 186661587696 190936280544 248882116928 254581707392 260548466159 373323175392 381872561088 497764233856 509163414784 521096932318 746646350784 763745122176 781645398477 995528467712 1042193864636 1493292701568 1527490244352 1563290796954 2084387729272 2986585403136 3126581593908 4168775458544 6253163187816 8337550917088 12506326375632 16675101834176 25012652751264 33350203668352 50025305502528 66700407336704 100050611005056 200101222010112