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20313000000 = 2632563761
BaseRepresentation
bin10010111010101111…
…111100100001000000
31221102122111022112100
4102322233330201000
5313100112000000
613155350030400
71316242436226
oct227257744100
957378438470
1020313000000
118684182607
123b2a948400
131bb94a7937
14da9ac0b16
157dd496a00
hex4babfc840

20313000000 has 588 divisors, whose sum is σ = 75970824436. Its totient is φ = 5184000000.

The previous prime is 20312999989. The next prime is 20313000017. The reversal of 20313000000 is 31302.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 15641004096 + 4671995904 = 125064^2 + 68352^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 332999970 + ... + 333000030.

Almost surely, 220313000000 is an apocalyptic number.

20313000000 is a gapful number since it is divisible by the number (20) 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 20313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37985412218).

20313000000 is an abundant number, since it is smaller than the sum of its proper divisors (55657824436).

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

20313000000 is an frugal number, since it uses more digits than its factorization.

20313000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 20313000000 its reverse (31302), we get a palindrome (20313031302).

The spelling of 20313000000 in words is "twenty billion, three hundred thirteen million", and thus it is an aban number.