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2023121200 = 245229174407
BaseRepresentation
bin111100010010110…
…0110000100110000
312012222212012112211
41320211212010300
513120404334300
6532430301504
7101064150352
oct17045460460
95188765484
102023121200
11948aa99a1
12485657894
132631b1349
141529970d2
15bc92d4ba
hex78966130

2023121200 has 60 divisors (see below), whose sum is σ = 5028182640. Its totient is φ = 781338880.

The previous prime is 2023121189. The next prime is 2023121201. The reversal of 2023121200 is 21213202.

It is not an unprimeable number, because it can be changed into a prime (2023121201) 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, 75604 + ... + 98803.

It is an arithmetic number, because the mean of its divisors is an integer number (83803044).

Almost surely, 22023121200 is an apocalyptic number.

2023121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023121200 is an abundant number, since it is smaller than the sum of its proper divisors (3005061440).

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

2023121200 is a wasteful number, since it uses less digits than its factorization.

2023121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174454 (or 174443 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2023121200 is about 44979.1196000989. The cubic root of 2023121200 is about 1264.7576074286.

Adding to 2023121200 its reverse (21213202), we get a palindrome (2044334402).

The spelling of 2023121200 in words is "two billion, twenty-three million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 174407 348814 697628 872035 1395256 1744070 2790512 3488140 4360175 5057803 6976280 8720350 10115606 13952560 17440700 20231212 25289015 34881400 40462424 50578030 69762800 80924848 101156060 126445075 202312120 252890150 404624240 505780300 1011560600 2023121200