Search a number
-
+
11202010201020 = 22353743151777137
BaseRepresentation
bin1010001100000010101111…
…0101101011101110111100
31110122220100100111011012110
42203000223311223232330
52432013204102413040
635454044335134020
72234214153436602
oct243005365535674
943586310434173
1011202010201020
1136298227a4971
12130b036674310
1363346404c792
142aa274609872
151465cb358980
hexa302bd6bbbc

11202010201020 has 192 divisors, whose sum is σ = 33180833258496. Its totient is φ = 2820071116800.

The previous prime is 11202010200971. The next prime is 11202010201021. The reversal of 11202010201020 is 2010201020211.

It is a super-2 number, since 2×112020102010202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11202010200987 and 11202010201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202010201021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14025892 + ... + 14803028.

It is an arithmetic number, because the mean of its divisors is an integer number (172816839888).

Almost surely, 211202010201020 is an apocalyptic number.

11202010201020 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 11202010201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590416629248).

11202010201020 is an abundant number, since it is smaller than the sum of its proper divisors (21978823057476).

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

11202010201020 is a wasteful number, since it uses less digits than its factorization.

11202010201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777380 (or 777378 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11202010201020 its reverse (2010201020211), we get a palindrome (13212211221231).

The spelling of 11202010201020 in words is "eleven trillion, two hundred two billion, ten million, two hundred one thousand, twenty".