Search a number
-
+
201112432033324 = 22753571296979939
BaseRepresentation
bin101101101110100100100011…
…000100100011111000101100
3222101002011100011202112221211
4231232210203010203320230
5202330011230100031244
61551421435324404204
760234615355505260
oct5556444304437054
9871064304675854
10201112432033324
115909833798aa49
121a680b2a6a6664
13882aa89877896
143793c7224c0a0
15183b5e11a0934
hexb6e923123e2c

201112432033324 has 96 divisors (see below), whose sum is σ = 410675135270400. Its totient is φ = 84387208389120.

The previous prime is 201112432033307. The next prime is 201112432033351. The reversal of 201112432033324 is 423330234211102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515783747 + ... + 2515863685.

It is an arithmetic number, because the mean of its divisors is an integer number (4277865992400).

Almost surely, 2201112432033324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201112432033324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205337567635200).

201112432033324 is an abundant number, since it is smaller than the sum of its proper divisors (209562703237076).

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

201112432033324 is a wasteful number, since it uses less digits than its factorization.

201112432033324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83543 (or 83541 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 201112432033324 its reverse (423330234211102), we get a palindrome (624442666244426).

The spelling of 201112432033324 in words is "two hundred one trillion, one hundred twelve billion, four hundred thirty-two million, thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 53 106 212 371 571 742 1142 1484 2284 2969 3997 5938 7994 11876 15988 20783 30263 41566 60526 79939 83132 121052 157357 159878 211841 314714 319756 423682 559573 629428 847364 1101499 1119146 1695299 2202998 2238292 3390598 4236767 4405996 6781196 8473534 11867093 16947068 23734186 29657369 45645169 47468372 59314738 89850847 91290338 118629476 179701694 182580676 237338891 319516183 359403388 474677782 628955929 639032366 949355564 1257911858 1278064732 1661372237 2419193957 2515823716 3322744474 4838387914 6645488948 9676775828 12578961223 16934357699 25157922446 33868715398 50315844892 67737430796 88052728561 135520506761 176105457122 271041013522 352210914244 542082027044 948643547327 1897287094654 3794574189308 7182586858333 14365173716666 28730347433332 50278108008331 100556216016662 201112432033324