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20231310000000 = 2735711101607
BaseRepresentation
bin1001001100110011110000…
…00010111011111110000000
32122122002112210000222200210
410212121320002323332000
510122432210330000000
6111010045134114120
74155443502414501
oct446317002737600
978562483028623
1020231310000000
1164a006107a6a0
122328b6894b940
13b39a5c1c4818
144dd2b474cba8
152513e1e4c350
hex1266780bbf80

20231310000000 has 1024 divisors, whose sum is σ = 74128310231040. Its totient is φ = 4848000000000.

The previous prime is 20231309999977. The next prime is 20231310000007. The reversal of 20231310000000 is 1313202.

It is a happy number.

It is a super-2 number, since 2×202313100000002 (a number of 27 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 (20231310000007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33329999697 + ... + 33330000303.

It is an arithmetic number, because the mean of its divisors is an integer number (72390927960).

Almost surely, 220231310000000 is an apocalyptic number.

20231310000000 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 20231310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37064155115520).

20231310000000 is an abundant number, since it is smaller than the sum of its proper divisors (53897000231040).

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

20231310000000 is an frugal number, since it uses more digits than its factorization.

20231310000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 729 counting only the distinct ones).

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

Adding to 20231310000000 its reverse (1313202), we get a palindrome (20231311313202).

The spelling of 20231310000000 in words is "twenty trillion, two hundred thirty-one billion, three hundred ten million", and thus it is an aban number.