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2023051200000 = 29355421469
BaseRepresentation
bin11101011100000111001…
…111111000011000000000
321011101211220202010202020
4131130013033320120000
5231121202101400000
64145213224121440
7266106044320545
oct35340717703000
97141756663666
102023051200000
1170aa757305a6
122880b7906280
13118a0810bb9c
146dcb80a8bcc
1537956a52ba0
hex1d7073f8600

2023051200000 has 240 divisors, whose sum is σ = 6736503367440. Its totient is φ = 539479040000.

The previous prime is 2023051199989. The next prime is 2023051200007. The reversal of 2023051200000 is 21503202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023051200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4589266 + ... + 5010734.

It is an arithmetic number, because the mean of its divisors is an integer number (28068764031).

Almost surely, 22023051200000 is an apocalyptic number.

2023051200000 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 2023051200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368251683720).

2023051200000 is an abundant number, since it is smaller than the sum of its proper divisors (4713452167440).

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

2023051200000 is an frugal number, since it uses more digits than its factorization.

2023051200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421515 (or 421479 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 2023051200000 its reverse (21503202), we get a palindrome (2023072703202).

The spelling of 2023051200000 in words is "two trillion, twenty-three billion, fifty-one million, two hundred thousand".