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201000212112006 = 232537117231722283
BaseRepresentation
bin101101101100111100000010…
…001111100010001010000110
3222100200102200101011220000200
4231230330002033202022012
5202321141413300041011
61551254120034151330
760223533430065066
oct5554740217421206
9870612611156020
10201000212112006
115905479074411a
121a663230422546
138820314492988
14378c6682c33a6
151838724253856
hexb6cf023e2286

201000212112006 has 96 divisors (see below), whose sum is σ = 450228405549312. Its totient is φ = 64772408151360.

The previous prime is 201000212111911. The next prime is 201000212112013. The reversal of 201000212112006 is 600211212000102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 201000212112006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115844541 + ... + 117566823.

It is an arithmetic number, because the mean of its divisors is an integer number (4689879224472).

Almost surely, 2201000212112006 is an apocalyptic number.

201000212112006 is an abundant number, since it is smaller than the sum of its proper divisors (249228193437306).

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

201000212112006 is a wasteful number, since it uses less digits than its factorization.

201000212112006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724138 (or 1724135 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201000212112006 its reverse (600211212000102), we get a palindrome (801211424112108).

The spelling of 201000212112006 in words is "two hundred one trillion, two hundred twelve million, one hundred twelve thousand, six".

Divisors: 1 2 3 6 9 18 53 71 106 142 159 213 318 426 477 639 954 1278 1723 3446 3763 5169 7526 10338 11289 15507 22578 31014 33867 67734 91319 122333 182638 244666 273957 366999 547914 733998 821871 1100997 1643742 1722283 2201994 3444566 5166849 6483649 10333698 12967298 15500547 19450947 31001094 38901894 58352841 91280999 116705682 122282093 182561998 244564186 273842997 366846279 547685994 733692558 821528991 1100538837 1643057982 2201077674 2967493609 5934987218 6480950929 8902480827 12961901858 17804961654 19442852787 26707442481 38885705574 53414884962 58328558361 116657116722 157277161277 210692046239 314554322554 421384092478 471831483831 632076138717 943662967662 1264152277434 1415494451493 1896228416151 2830988902986 3792456832302 11166678450667 22333356901334 33500035352001 67000070704002 100500106056003 201000212112006