Search a number
-
+
201000122202022 = 2111323101302538799
BaseRepresentation
bin101101101100111011111100…
…111000100011011110100110
3222100200102110002222222201021
4231230323330320203132212
5202321141222240431042
61551254103103121354
760223531255625623
oct5554737470433646
9870612402888637
10201000122202022
1159054744a14450
121a6632062a325a
1388202cb9729c0
14378c65a39b34a
15183871b3e3867
hexb6cefce237a6

201000122202022 has 64 divisors (see below), whose sum is σ = 373269951129600. Its totient is φ = 79870242672000.

The previous prime is 201000122201987. The next prime is 201000122202029. The reversal of 201000122202022 is 220202221000102.

It is a junction number, because it is equal to n+sod(n) for n = 201000122201987 and 201000122202005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000122202029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150605022 + ... + 151933777.

It is an arithmetic number, because the mean of its divisors is an integer number (5832342986400).

Almost surely, 2201000122202022 is an apocalyptic number.

201000122202022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201000122202022 is a deficient number, since it is larger than the sum of its proper divisors (172269828927578).

201000122202022 is a wasteful number, since it uses less digits than its factorization.

201000122202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302538949.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201000122202022 its reverse (220202221000102), we get a palindrome (421202343202124).

The spelling of 201000122202022 in words is "two hundred one trillion, one hundred twenty-two million, two hundred two thousand, twenty-two".

Divisors: 1 2 11 13 22 23 26 46 101 143 202 253 286 299 506 598 1111 1313 2222 2323 2626 3289 4646 6578 14443 25553 28886 30199 51106 60398 332189 664378 302538799 605077598 3327926789 3933004387 6655853578 6958392377 7866008774 13916784754 30556418699 43263048257 61112837398 76542316147 86526096514 90459100901 153084632294 180918201802 336120605689 397233443087 672241211378 702797630077 794466886174 995050109911 1405595260154 1990100219822 4369567873957 7730773930847 8739135747914 9136369191001 15461547861694 18272738382002 100500061101011 201000122202022