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8130300000 = 2535541661
BaseRepresentation
bin1111001001001101…
…01000100001100000
3202222121121000220020
413210212220201200
5113122324100000
63422432313440
7405322260354
oct74446504140
922877530806
108130300000
1134a23847a9
1216aa9a2880
139c7535304
14571b05464
15328b87ba0
hex1e49a8860

8130300000 has 288 divisors, whose sum is σ = 27367810848. Its totient is φ = 2112000000.

The previous prime is 8130299999. The next prime is 8130300001. The reversal of 8130300000 is 30318.

It is an interprime number because it is at equal distance from previous prime (8130299999) and next prime (8130300001).

It is a super-2 number, since 2×81303000002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8130300001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12299670 + ... + 12300330.

It is an arithmetic number, because the mean of its divisors is an integer number (95027121).

Almost surely, 28130300000 is an apocalyptic number.

8130300000 is a gapful number since it is divisible by the number (80) 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 8130300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683905424).

8130300000 is an abundant number, since it is smaller than the sum of its proper divisors (19237510848).

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

8130300000 is an equidigital number, since it uses as much as digits as its factorization.

8130300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 8130300000 is about 90168.1762042463. The cubic root of 8130300000 is about 2010.7999093391.

Adding to 8130300000 its reverse (30318), we get a palindrome (8130330318).

The spelling of 8130300000 in words is "eight billion, one hundred thirty million, three hundred thousand".