Search a number
-
+
11050132252200 = 233527910316713553
BaseRepresentation
bin1010000011001100111100…
…1101010010011000101000
31110010101022201022221211220
42200303033031102120220
52422021132324032300
635300205523422040
72220226402250106
oct240631715223050
943111281287756
1011050132252200
113580375641aa8
1212a570ab24920
1362203b6ba702
142a2b87690c76
1514268c974da0
hexa0ccf352628

11050132252200 has 384 divisors, whose sum is σ = 35238144614400. Its totient is φ = 2863691550720.

The previous prime is 11050132252199. The next prime is 11050132252223. The reversal of 11050132252200 is 225223105011.

It is a super-2 number, since 2×110501322522002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 815320624 + ... + 815334176.

It is an arithmetic number, because the mean of its divisors is an integer number (91766001600).

Almost surely, 211050132252200 is an apocalyptic number.

11050132252200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11050132252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619072307200).

11050132252200 is an abundant number, since it is smaller than the sum of its proper divisors (24188012362200).

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

11050132252200 is a wasteful number, since it uses less digits than its factorization.

11050132252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921 (or 13912 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11050132252200 its reverse (225223105011), we get a palindrome (11275355357211).

The spelling of 11050132252200 in words is "eleven trillion, fifty billion, one hundred thirty-two million, two hundred fifty-two thousand, two hundred".