Search a number
-
+
11031031032300 = 2234526141295407
BaseRepresentation
bin1010000010000101110010…
…1011111010100111101100
31110001120000112000110010000
42200201130223322213230
52421213022421013200
635243330302144300
72215652142461256
oct240413453724754
943046015013100
1011031031032300
113573263491854
1212a1a79b82090
136202b62a0126
142a1c948c8cd6
15141e20a94300
hexa085cafa9ec

11031031032300 has 360 divisors, whose sum is σ = 36359971007360. Its totient is φ = 2892149452800.

The previous prime is 11031031032283. The next prime is 11031031032319. The reversal of 11031031032300 is 323013013011.

It is a happy number.

11031031032300 is a `hidden beast` number, since 1 + 1 + 0 + 31 + 0 + 310 + 323 + 0 + 0 = 666.

11031031032300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2040136197 + ... + 2040141603.

Almost surely, 211031031032300 is an apocalyptic number.

11031031032300 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 11031031032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179985503680).

11031031032300 is an abundant number, since it is smaller than the sum of its proper divisors (25328939975060).

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

11031031032300 is a wasteful number, since it uses less digits than its factorization.

11031031032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623 (or 9607 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11031031032300 its reverse (323013013011), we get a palindrome (11354044045311).

The spelling of 11031031032300 in words is "eleven trillion, thirty-one billion, thirty-one million, thirty-two thousand, three hundred".