Search a number
-
+
123020320224 = 2531967445351
BaseRepresentation
bin111001010010010010…
…1010001110111100000
3102202112111102202221110
41302210211101313200
54003421200221344
6132303104223320
711613362316504
oct1624445216740
9382474382843
10123020320224
114819984443a
121ba1330ab40
13b7a6b649b9
145d5051c304
1533002103b9
hex1ca4951de0

123020320224 has 48 divisors (see below), whose sum is σ = 339924574080. Its totient is φ = 38848521600.

The previous prime is 123020320193. The next prime is 123020320301. The reversal of 123020320224 is 422023020321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 123020320224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33720852 + ... + 33724499.

It is an arithmetic number, because the mean of its divisors is an integer number (7081761960).

Almost surely, 2123020320224 is an apocalyptic number.

It is an amenable number.

123020320224 is an abundant number, since it is smaller than the sum of its proper divisors (216904253856).

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

123020320224 is a wasteful number, since it uses less digits than its factorization.

123020320224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67445383 (or 67445375 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 123020320224 its reverse (422023020321), we get a palindrome (545043340545).

The spelling of 123020320224 in words is "one hundred twenty-three billion, twenty million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 67445351 134890702 202336053 269781404 404672106 539562808 809344212 1079125616 1281461669 1618688424 2158251232 2562923338 3237376848 3844385007 5125846676 6474753696 7688770014 10251693352 15377540028 20503386704 30755080056 41006773408 61510160112 123020320224