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10250304000 = 29353197271
BaseRepresentation
bin10011000101111011…
…10011101000000000
3222110100202101122220
421202331303220000
5131443034212000
64413043331040
7512004101136
oct114275635000
928410671586
1010250304000
114390036122
121ba0980a80
13c74808351
146d34bb756
153eed521a0
hex262f73a00

10250304000 has 320 divisors, whose sum is σ = 34379085312. Its totient is φ = 2709504000.

The previous prime is 10250303951. The next prime is 10250304017. The reversal of 10250304000 is 40305201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37823865 + ... + 37824135.

Almost surely, 210250304000 is an apocalyptic number.

10250304000 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 10250304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17189542656).

10250304000 is an abundant number, since it is smaller than the sum of its proper divisors (24128781312).

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

10250304000 is an equidigital number, since it uses as much as digits as its factorization.

10250304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 10250304000 its reverse (40305201), we get a palindrome (10290609201).

The spelling of 10250304000 in words is "ten billion, two hundred fifty million, three hundred four thousand".