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2023100000 = 255520231
BaseRepresentation
bin111100010010110…
…0000111001100000
312012222211010110122
41320211200321200
513120403200000
6532430015412
7101064031505
oct17045407140
95188733418
102023100000
11948a94a79
12485647568
132631a47bc
1415298d4ac
15bc927085
hex78960e60

2023100000 has 72 divisors (see below), whose sum is σ = 4978650096. Its totient is φ = 809200000.

The previous prime is 2023099999. The next prime is 2023100003. The reversal of 2023100000 is 13202.

2023100000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20231000002 = 8185867220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89885 + ... + 110115.

It is an arithmetic number, because the mean of its divisors is an integer number (69147918).

Almost surely, 22023100000 is an apocalyptic number.

2023100000 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 2023100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2489325048).

2023100000 is an abundant number, since it is smaller than the sum of its proper divisors (2955550096).

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

2023100000 is an frugal number, since it uses more digits than its factorization.

2023100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20266 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2023100000 is about 44978.8839345753. The cubic root of 2023100000 is about 1264.7531896746.

Adding to 2023100000 its reverse (13202), we get a palindrome (2023113202).

The spelling of 2023100000 in words is "two billion, twenty-three million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 20231 25000 40462 50000 80924 100000 101155 161848 202310 323696 404620 505775 647392 809240 1011550 1618480 2023100 2528875 3236960 4046200 5057750 8092400 10115500 12644375 16184800 20231000 25288750 40462000 50577500 63221875 80924000 101155000 126443750 202310000 252887500 404620000 505775000 1011550000 2023100000