Search a number
-
+
11020201000000 = 265623347297
BaseRepresentation
bin1010000001011101011100…
…1010100111110001000000
31110000112001202101210201121
42200113113022213301000
52421023332424000000
635234335505042024
72215116565641133
oct240272712476100
943015052353647
1011020201000000
113569706194235
12129b957026314
1361c27b6461aa
142a154842021a
151419d9dcab1a
hexa05d72a7c40

11020201000000 has 196 divisors, whose sum is σ = 27452811958884. Its totient is φ = 4389068800000.

The previous prime is 11020200999991. The next prime is 11020201000019. The reversal of 11020201000000 is 10202011.

It can be written as a sum of positive squares in 14 ways, for example, as 6548972337216 + 4471228662784 = 2559096^2 + 2114528^2 .

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 27 ways as a sum of consecutive naturals, for example, 232976352 + ... + 233023648.

Almost surely, 211020201000000 is an apocalyptic number.

11020201000000 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 11020201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726405979442).

11020201000000 is an abundant number, since it is smaller than the sum of its proper divisors (16432610958884).

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

11020201000000 is an frugal number, since it uses more digits than its factorization.

11020201000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47572 (or 47537 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11020201000000 its reverse (10202011), we get a palindrome (11020211202011).

The spelling of 11020201000000 in words is "eleven trillion, twenty billion, two hundred one million", and thus it is an aban number.