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2023204000000 = 28561729753
BaseRepresentation
bin11101011100010000010…
…110110001000100000000
321011102020120021011221111
4131130100112301010000
5231122010211000000
64145240323133104
7266112611151601
oct35342026610400
97142216234844
102023204000000
11710043a05497
1228813ab14194
13118a3097b3a1
146dcd04c1da8
1537965186cba
hex1d7105b1100

2023204000000 has 252 divisors, whose sum is σ = 5345191190052. Its totient is φ = 761651200000.

The previous prime is 2023203999997. The next prime is 2023204000003. The reversal of 2023204000000 is 4023202.

It is an interprime number because it is at equal distance from previous prime (2023203999997) and next prime (2023204000003).

It can be written as a sum of positive squares in 14 ways, for example, as 2020082319616 + 3121680384 = 1421296^2 + 55872^2 .

It is not an unprimeable number, because it can be changed into a prime (2023204000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 67985124 + ... + 68014876.

It is an arithmetic number, because the mean of its divisors is an integer number (21211076151).

Almost surely, 22023204000000 is an apocalyptic number.

2023204000000 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 2023204000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672595595026).

2023204000000 is an abundant number, since it is smaller than the sum of its proper divisors (3321987190052).

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

2023204000000 is an frugal number, since it uses more digits than its factorization.

2023204000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29816 (or 29777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 2023204000000 its reverse (4023202), we get a palindrome (2023208023202).

The spelling of 2023204000000 in words is "two trillion, twenty-three billion, two hundred four million", and thus it is an aban number.