Search a number
-
+
200100101021121 = 371797101127450487
BaseRepresentation
bin101101011111110101101111…
…011100001101110111000001
3222020111101100002100210202010
4231133311233130031313001
5202211420001330133441
61545324414541443133
760101520020050320
oct5537655734156701
9866441302323663
10200100101021121
1158837a81478084
121a5388a6b704a9
1387864879abb22
14375ac7a2600b7
1518200e20d1116
hexb5fd6f70ddc1

200100101021121 has 128 divisors (see below), whose sum is σ = 332002938322944. Its totient is φ = 104622310195200.

The previous prime is 200100101021081. The next prime is 200100101021153. The reversal of 200100101021121 is 121120101001002.

It is not a de Polignac number, because 200100101021121 - 26 = 200100101021057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200100101021097 and 200100101021106.

It is not an unprimeable number, because it can be changed into a prime (200100101021021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 443960940 + ... + 444411426.

It is an arithmetic number, because the mean of its divisors is an integer number (2593772955648).

Almost surely, 2200100101021121 is an apocalyptic number.

200100101021121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200100101021121 is a deficient number, since it is larger than the sum of its proper divisors (131902837301823).

200100101021121 is a wasteful number, since it uses less digits than its factorization.

200100101021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450839.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200100101021121 its reverse (121120101001002), we get a palindrome (321220202022123).

The spelling of 200100101021121 in words is "two hundred trillion, one hundred billion, one hundred one million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 17 21 51 97 101 119 127 291 303 357 381 679 707 889 1649 1717 2037 2121 2159 2667 4947 5151 6477 9797 11543 12019 12319 12827 15113 29391 34629 36057 36957 38481 45339 68579 86233 89789 166549 205737 209423 218059 258699 269367 450487 499647 628269 654177 1165843 1244219 1351461 1465961 1526413 3153409 3497529 3732657 4397883 4579239 7658279 8709533 9460227 21151723 22974837 26128599 43697239 45499187 53607953 57211849 63455169 131091717 136497561 148062061 160823859 171635547 305880673 318494309 400482943 444186183 742853063 773486179 917642019 955482927 972601433 1201448829 2228559189 2320458537 2917804299 4413421139 5199971441 5414403253 5549549353 5778396749 6808210031 13240263417 15599914323 16243209759 16648648059 17335190247 20424630093 30893947973 38846845471 40448777243 75028159363 92681843919 94342339001 98232744733 116540536413 121346331729 225084478089 283027017003 294698234199 525197115541 560504484653 660396373007 687629213131 1575591346623 1681513453959 1981189119021 2062887639393 3923531392571 9528576239101 11770594177713 28585728717303 66700033673707 200100101021121