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2023112130000 = 243541310748481
BaseRepresentation
bin11101011100001010111…
…000010011110111010000
321011102000011101200222220
4131130022320103313100
5231121313201130000
64145223242101040
7266110414240203
oct35341270236720
97142004350886
102023112130000
1170aaa7067175
122881141aa780
13118a17923240
146dcc220993a
153795c08b1a0
hex1d70ae13dd0

2023112130000 has 400 divisors, whose sum is σ = 7099128501696. Its totient is φ = 493332480000.

The previous prime is 2023112129971. The next prime is 2023112130001. The reversal of 2023112130000 is 312113202.

It is a tau number, because it is divible by the number of its divisors (400).

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 (2023112130001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41705760 + ... + 41754240.

Almost surely, 22023112130000 is an apocalyptic number.

2023112130000 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 2023112130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549564250848).

2023112130000 is an abundant number, since it is smaller than the sum of its proper divisors (5076016371696).

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

2023112130000 is a wasteful number, since it uses less digits than its factorization.

2023112130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48632 (or 48611 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2023112130000 its reverse (312113202), we get a palindrome (2023424243202).

The spelling of 2023112130000 in words is "two trillion, twenty-three billion, one hundred twelve million, one hundred thirty thousand".