Search a number
-
+
201202200111200 = 25521012490126239
BaseRepresentation
bin101101101111111000001001…
…101010100110100001100000
3222101101202001021020101201212
4231233320021222212201200
5202332444101212024300
61551531003102045252
760244244040542111
oct5557701152464140
9871352037211655
10201202200111200
11591224126a5562
121a696401879828
138836394616a22
14379834a418208
15183dae6eb9935
hexb6fe09aa6860

201202200111200 has 72 divisors (see below), whose sum is σ = 496048087765440. Its totient is φ = 79684039616000.

The previous prime is 201202200111173. The next prime is 201202200111221. The reversal of 201202200111200 is 2111002202102.

201202200111200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1244982320 + ... + 1245143919.

It is an arithmetic number, because the mean of its divisors is an integer number (6889556774520).

Almost surely, 2201202200111200 is an apocalyptic number.

201202200111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201202200111200 is an abundant number, since it is smaller than the sum of its proper divisors (294845887654240).

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

201202200111200 is a wasteful number, since it uses less digits than its factorization.

201202200111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490126360 (or 2490126347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201202200111200 its reverse (2111002202102), we get a palindrome (203313202313302).

The spelling of 201202200111200 in words is "two hundred one trillion, two hundred two billion, two hundred million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 160 200 202 400 404 505 800 808 1010 1616 2020 2525 3232 4040 5050 8080 10100 16160 20200 40400 80800 2490126239 4980252478 9960504956 12450631195 19921009912 24901262390 39842019824 49802524780 62253155975 79684039648 99605049560 124506311950 199210099120 249012623900 251502750139 398420198240 498025247800 503005500278 996050495600 1006011000556 1257513750695 1992100991200 2012022001112 2515027501390 4024044002224 5030055002780 6287568753475 8048088004448 10060110005560 12575137506950 20120220011120 25150275013900 40240440022240 50300550027800 100601100055600 201202200111200