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200100211201011 = 3111767101157335729
BaseRepresentation
bin101101011111110101110110…
…000000100001001111110011
3222020111101121202200112010210
4231133311312000201033303
5202211420213031413021
61545324433515155203
760101522525421432
oct5537656600411763
9866441552615123
10200100211201011
1158838028691940
121a538917a45b03
1387864a4778024
14375ac8ab41119
1518200ebae6e76
hexb5fd760213f3

200100211201011 has 128 divisors (see below), whose sum is σ = 317885021199360. Its totient is φ = 110612975616000.

The previous prime is 200100211200983. The next prime is 200100211201031. The reversal of 200100211201011 is 110102112001002.

It is not a de Polignac number, because 200100211201011 - 245 = 164915839112179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200100211201031) 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, 595849195 + ... + 596184923.

It is an arithmetic number, because the mean of its divisors is an integer number (2483476728120).

Almost surely, 2200100211201011 is an apocalyptic number.

200100211201011 is a deficient number, since it is larger than the sum of its proper divisors (117784809998349).

200100211201011 is a wasteful number, since it uses less digits than its factorization.

200100211201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336085.

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

Adding to 200100211201011 its reverse (110102112001002), we get a palindrome (310202323202013).

The spelling of 200100211201011 in words is "two hundred trillion, one hundred billion, two hundred eleven million, two hundred one thousand, eleven".

Divisors: 1 3 11 17 33 51 67 101 157 187 201 303 471 561 737 1111 1139 1717 1727 2211 2669 3333 3417 5151 5181 6767 8007 10519 12529 15857 18887 20301 29359 31557 37587 47571 56661 74437 88077 115039 115709 174427 178823 223311 269569 335729 345117 347127 523281 536469 808707 1007187 1062419 1265429 1967053 2965259 3187257 3693019 3796287 5707393 5901159 8895777 11079057 11686609 17122179 18061123 22493843 33908629 35059827 52709453 54183369 62781323 67481529 101725887 158128359 188343969 198672353 247432273 372994919 382395331 576446693 579803983 596017059 742296819 896060701 1118984757 1147185993 1729340079 1739411949 2271878143 2688182103 3531533351 4206348641 5323654753 6340913623 6815634429 9856667711 10594600053 12619045923 15970964259 19022740869 24990659573 29570003133 38621928431 38846866861 58560202283 60036066967 74971978719 90502130801 115865785293 116540600583 175680606849 180108200901 271506392403 356684868451 424841212741 660396736637 995523438811 1070054605353 1274523638223 1981190209911 2986570316433 3923533552961 6063642763667 11770600658883 18190928291001 66700070400337 200100211201011