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2023010100 = 2233526171173
BaseRepresentation
bin111100010010100…
…1010111100110100
312012222122120011000
41320211022330310
513120342310400
6532424043300
7101063205426
oct17045127464
95188576130
102023010100
11948a33481
12485603530
132631728c7
14152968816
15bc90a600
hex7894af34

2023010100 has 288 divisors, whose sum is σ = 6742068480. Its totient is φ = 520128000.

The previous prime is 2023010021. The next prime is 2023010107. The reversal of 2023010100 is 10103202.

It is a happy number.

2023010100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023010107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11693614 + ... + 11693786.

It is an arithmetic number, because the mean of its divisors is an integer number (23409960).

Almost surely, 22023010100 is an apocalyptic number.

2023010100 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 2023010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371034240).

2023010100 is an abundant number, since it is smaller than the sum of its proper divisors (4719058380).

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

2023010100 is a wasteful number, since it uses less digits than its factorization.

2023010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2023010100 is about 44977.8845656396. The cubic root of 2023010100 is about 1264.7344555544.

Adding to 2023010100 its reverse (10103202), we get a palindrome (2033113302).

The spelling of 2023010100 in words is "two billion, twenty-three million, ten thousand, one hundred".