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10000212100011 = 3273747202944987
BaseRepresentation
bin1001000110000101101100…
…0101110000001110101011
31022102000021222100001100100
42101201123011300032223
52302320413244200021
633134011203040443
72051330402225550
oct221413305601653
938360258301310
1010000212100011
113206080030991
121156136970123
1357702908b1a3
14268027380a27
151251dd88c626
hex9185b1703ab

10000212100011 has 96 divisors (see below), whose sum is σ = 17324108605440. Its totient is φ = 5438863542528.

The previous prime is 10000212099961. The next prime is 10000212100079. The reversal of 10000212100011 is 11000121200001.

It is a happy number.

It is not a de Polignac number, because 10000212100011 - 214 = 10000212083627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000212099966 and 10000212100002.

It is not an unprimeable number, because it can be changed into a prime (10000212102011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222268660 + ... + 222313646.

It is an arithmetic number, because the mean of its divisors is an integer number (180459464640).

Almost surely, 210000212100011 is an apocalyptic number.

10000212100011 is a deficient number, since it is larger than the sum of its proper divisors (7323896505429).

10000212100011 is a wasteful number, since it uses less digits than its factorization.

10000212100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47113 (or 47110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000212100011 its reverse (11000121200001), we get a palindrome (21000333300012).

The spelling of 10000212100011 in words is "ten trillion, two hundred twelve million, one hundred thousand, eleven".

Divisors: 1 3 7 9 21 37 47 63 111 141 259 329 333 423 777 987 1739 2029 2331 2961 5217 6087 12173 14203 15651 18261 36519 42609 44987 75073 95363 109557 127827 134961 225219 286089 314909 404883 525511 667541 675657 858267 944727 1576533 1664519 2002623 2114389 2834181 3528431 4729599 4993557 6007869 6343167 10585293 11651633 14800723 14980671 19029501 24699017 31755879 34954899 44402169 74097051 78232393 91278623 104864697 133206507 222291153 234697179 273835869 547626751 638950361 704091537 821507607 1642880253 1916851083 3377309051 4290095281 4928640759 5750553249 10131927153 12870285843 23641163357 30030666967 30395781459 38610857529 70923490071 90092000901 158733525397 212770470213 270276002703 476200576191 1111134677779 1428601728573 3333404033337 10000212100011