Search a number
-
+
12003200320 = 265320911689
BaseRepresentation
bin10110010110111001…
…00100110101000000
31010222112010202100211
423023130210311000
5144040304402240
65303022123504
7603310343056
oct131334446500
933875122324
1012003200320
1150aa548071
1223aba20594
131193a153c7
1481c2121d6
154a3ba3bea
hex2cb724d40

12003200320 has 56 divisors (see below), whose sum is σ = 28593973800. Its totient is φ = 4799373312.

The previous prime is 12003200257. The next prime is 12003200351. The reversal of 12003200320 is 2300230021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4982101056 + 7021099264 = 70584^2 + 83792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12003200320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1021036 + ... + 1032724.

It is an arithmetic number, because the mean of its divisors is an integer number (510606675).

Almost surely, 212003200320 is an apocalyptic number.

12003200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003200320 is an abundant number, since it is smaller than the sum of its proper divisors (16590773480).

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

12003200320 is a wasteful number, since it uses less digits than its factorization.

12003200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14915 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 12003200320 its reverse (2300230021), we get a palindrome (14303430341).

The spelling of 12003200320 in words is "twelve billion, three million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3209 6418 11689 12836 16045 23378 25672 32090 46756 51344 58445 64180 93512 102688 116890 128360 187024 205376 233780 256720 374048 467560 513440 748096 935120 1026880 1870240 3740480 37510001 75020002 150040004 187550005 300080008 375100010 600160016 750200020 1200320032 1500400040 2400640064 3000800080 6001600160 12003200320