Search a number
-
+
204212010000 = 243546807067
BaseRepresentation
bin1011111000101111111…
…0111111110000010000
3201112002212220221222210
42332023332333300100
511321211233310000
6233451432032120
720516364305355
oct2761376776020
9645085827883
10204212010000
11796733a06a9
12336b2232640
1316345b4159b
149c5366262c
1554a3127350
hex2f8bfbfc10

204212010000 has 100 divisors (see below), whose sum is σ = 659223693392. Its totient is φ = 54456528000.

The previous prime is 204212009999. The next prime is 204212010007. The reversal of 204212010000 is 10212402.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (204212010007) 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 19 ways as a sum of consecutive naturals, for example, 3373534 + ... + 3433533.

Almost surely, 2204212010000 is an apocalyptic number.

204212010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204212010000 is an abundant number, since it is smaller than the sum of its proper divisors (455011683392).

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

204212010000 is an equidigital number, since it uses as much as digits as its factorization.

204212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6807098 (or 6807077 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 204212010000 its reverse (10212402), we get a palindrome (204222222402).

The spelling of 204212010000 in words is "two hundred four billion, two hundred twelve million, ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 6807067 13614134 20421201 27228268 34035335 40842402 54456536 68070670 81684804 102106005 108913072 136141340 163369608 170176675 204212010 272282680 326739216 340353350 408424020 510530025 544565360 680706700 816848040 850883375 1021060050 1361413400 1633696080 1701766750 2042120100 2552650125 2722826800 3403533500 4084240200 4254416875 5105300250 6807067000 8168480400 8508833750 10210600500 12763250625 13614134000 17017667500 20421201000 25526501250 34035335000 40842402000 51053002500 68070670000 102106005000 204212010000