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2023120203000 = 2335313400312959
BaseRepresentation
bin11101011100001011010…
…111000110110011111000
321011102000201120212001220
4131130023113012303320
5231121322232444000
64145224131112040
7266110542662511
oct35341327066370
97142021525056
102023120203000
11710000680576
12288116a42620
13118a194bb970
146dcc330ba08
153795cb331a0
hex1d70b5c6cf8

2023120203000 has 256 divisors, whose sum is σ = 6799906713600. Its totient is φ = 497835993600.

The previous prime is 2023120202993. The next prime is 2023120203001. The reversal of 2023120203000 is 3020213202.

It is a super-2 number, since 2×20231202030002 (a number of 25 digits) contains 22 as substring.

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 (2023120203001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156110521 + ... + 156123479.

It is an arithmetic number, because the mean of its divisors is an integer number (26562135600).

Almost surely, 22023120203000 is an apocalyptic number.

2023120203000 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 2023120203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399953356800).

2023120203000 is an abundant number, since it is smaller than the sum of its proper divisors (4776786510600).

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

2023120203000 is a wasteful number, since it uses less digits than its factorization.

2023120203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16999 (or 16985 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2023120203000 its reverse (3020213202), we get a palindrome (2026140416202).

The spelling of 2023120203000 in words is "two trillion, twenty-three billion, one hundred twenty million, two hundred three thousand".