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10104040000 = 26544161101
BaseRepresentation
bin10010110100011111…
…10110101001000000
3222002011112102011201
421122033312221000
5131143113240000
64350340350544
7505246631365
oct113217665100
928064472151
1010104040000
11431551588a
121b5b9a5454
13c50416ac2
146bbcc646c
153e20ae96a
hex25a3f6a40

10104040000 has 280 divisors, whose sum is σ = 26344860696. Its totient is φ = 3840000000.

The previous prime is 10104039997. The next prime is 10104040007. The reversal of 10104040000 is 4040101.

It can be written as a sum of positive squares in 20 ways, for example, as 9772508736 + 331531264 = 98856^2 + 18208^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10104040007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100039950 + ... + 100040050.

Almost surely, 210104040000 is an apocalyptic number.

10104040000 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 10104040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172430348).

10104040000 is an abundant number, since it is smaller than the sum of its proper divisors (16240820696).

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

10104040000 is an equidigital number, since it uses as much as digits as its factorization.

10104040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10104040000 its reverse (4040101), we get a palindrome (10108080101).

The spelling of 10104040000 in words is "ten billion, one hundred four million, forty thousand".