Search a number
-
+
10531471104 = 2832711232989
BaseRepresentation
bin10011100111011100…
…10111111100000000
31000011221211011102100
421303232113330000
5133032024033404
64501005550400
7521660012250
oct116356277400
930157734370
1010531471104
114514817130
12205ab75400
13cbab4100b
1471c98b960
15419890d39
hex273b97f00

10531471104 has 864 divisors, whose sum is σ = 41324774400. Its totient is φ = 2497904640.

The previous prime is 10531471103. The next prime is 10531471121. The reversal of 10531471104 is 40117413501.

10531471104 is a `hidden beast` number, since 10 + 531 + 4 + 7 + 110 + 4 = 666.

It is a super-2 number, since 2×105314711042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10531471103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118331092 + ... + 118331180.

It is an arithmetic number, because the mean of its divisors is an integer number (47829600).

Almost surely, 210531471104 is an apocalyptic number.

10531471104 is a gapful number since it is divisible by the number (14) 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 10531471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20662387200).

10531471104 is an abundant number, since it is smaller than the sum of its proper divisors (30793303296).

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

10531471104 is a wasteful number, since it uses less digits than its factorization.

10531471104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10531471104 its reverse (40117413501), we get a palindrome (50648884605).

The spelling of 10531471104 in words is "ten billion, five hundred thirty-one million, four hundred seventy-one thousand, one hundred four".