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2023320000000 = 29357131297
BaseRepresentation
bin11101011100010111010…
…001010001011000000000
321011102112122112121000210
4131130113101101120000
5231122224410000000
64145300025314120
7266115520143165
oct35342721213000
97142478477023
102023320000000
117100a3434a62
12288171935940
13118a4ba04740
146dd01a7a06c
153797044c350
hex1d717451600

2023320000000 has 640 divisors, whose sum is σ = 7261682972544. Its totient is φ = 497664000000.

The previous prime is 2023319999977. The next prime is 2023320000067. The reversal of 2023320000000 is 233202.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 1559999352 + ... + 1560000648.

Almost surely, 22023320000000 is an apocalyptic number.

2023320000000 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 2023320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630841486272).

2023320000000 is an abundant number, since it is smaller than the sum of its proper divisors (5238362972544).

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

2023320000000 is an frugal number, since it uses more digits than its factorization.

2023320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 2023320000000 its reverse (233202), we get a palindrome (2023320233202).

The spelling of 2023320000000 in words is "two trillion, twenty-three billion, three hundred twenty million", and thus it is an aban number.