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20311324000000 = 2856113114891
BaseRepresentation
bin1001001111001000110010…
…10000000111111100000000
32122220202002002111100002021
410213210121100013330000
510130240042421000000
6111110520551531224
74164305354245435
oct447443120077400
978822062440067
1020311324000000
116520a90979120
122340579389b14
13b444711bba57
145031052cdb8c
1525352678411a
hex127919407f00

20311324000000 has 504 divisors, whose sum is σ = 57072859458048. Its totient is φ = 7147200000000.

The previous prime is 20311323999973. The next prime is 20311324000001. The reversal of 20311324000000 is 42311302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311324000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1363992555 + ... + 1364007445.

It is an arithmetic number, because the mean of its divisors is an integer number (113239800512).

Almost surely, 220311324000000 is an apocalyptic number.

20311324000000 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 20311324000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28536429729024).

20311324000000 is an abundant number, since it is smaller than the sum of its proper divisors (36761535458048).

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

20311324000000 is an frugal number, since it uses more digits than its factorization.

20311324000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14979 (or 14940 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20311324000000 its reverse (42311302), we get a palindrome (20311366311302).

The spelling of 20311324000000 in words is "twenty trillion, three hundred eleven billion, three hundred twenty-four million", and thus it is an aban number.