Search a number
-
+
201201212000200 = 23523727189352973
BaseRepresentation
bin101101101111110111001110…
…110001010000011111001000
3222101101122111101221011021011
4231233313032301100133020
5202332440040233001300
61551530321043253304
760244210411666036
oct5557671661203710
9871348441834234
10201201212000200
1159121a559620a5
121a69618697a234
1388362679b0169
1437982950c3556
15183da8a385eba
hexb6fdcec507c8

201201212000200 has 48 divisors (see below), whose sum is σ = 480435867050580. Its totient is φ = 78305336559360.

The previous prime is 201201212000183. The next prime is 201201212000213. The reversal of 201201212000200 is 2000212102102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 171051295080964 + 30149916919236 = 13078658^2 + 5490894^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13594669087 + ... + 13594683886.

Almost surely, 2201201212000200 is an apocalyptic number.

201201212000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201212000200 is an abundant number, since it is smaller than the sum of its proper divisors (279234655050380).

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

201201212000200 is a wasteful number, since it uses less digits than its factorization.

201201212000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27189353026 (or 27189353017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201201212000200 its reverse (2000212102102), we get a palindrome (203201424102302).

The spelling of 201201212000200 in words is "two hundred one trillion, two hundred one billion, two hundred twelve million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 27189352973 54378705946 108757411892 135946764865 217514823784 271893529730 543787059460 679733824325 1006006060001 1087574118920 1359467648650 2012012120002 2718935297300 4024024240004 5030030300005 5437870594600 8048048480008 10060060600010 20120121200020 25150151500025 40240242400040 50300303000050 100600606000100 201201212000200