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10304310000 = 24354973541
BaseRepresentation
bin10011001100010111…
…10100101011110000
3222121010101011222010
421212023310223300
5132100400410000
64422253042520
7513231122055
oct114613645360
928533334863
1010304310000
114408572686
121bb6a86440
13c82a66c6a
146da73902c
1540496dd50
hex2662f4af0

10304310000 has 200 divisors, whose sum is σ = 33616101904. Its totient is φ = 2718720000.

The previous prime is 10304309999. The next prime is 10304310001. The reversal of 10304310000 is 1340301.

10304310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10304309999) and next prime (10304310001).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×103043100002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304310001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2908230 + ... + 2911770.

Almost surely, 210304310000 is an apocalyptic number.

10304310000 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 10304310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16808050952).

10304310000 is an abundant number, since it is smaller than the sum of its proper divisors (23311791904).

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

10304310000 is an equidigital number, since it uses as much as digits as its factorization.

10304310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10304310000 its reverse (1340301), we get a palindrome (10305650301).

The spelling of 10304310000 in words is "ten billion, three hundred four million, three hundred ten thousand".