Search a number
-
+
2300824492801 = 73107661445631
BaseRepresentation
bin100001011110110011110…
…100111001101100000001
322010221211102012110012121
4201132303310321230001
5300144042032232201
64520552325524241
7325141401334462
oct41366364715401
98127742173177
102300824492801
1180785749779a
12311ab9573681
13138c75140233
147d5092d4d69
153ecb2c509a1
hex217b3d39b01

2300824492801 has 16 divisors (see below), whose sum is σ = 2357707004928. Its totient is φ = 2244691785600.

The previous prime is 2300824492751. The next prime is 2300824492829. The reversal of 2300824492801 is 1082944280032.

It is a happy number.

2300824492801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2300824492801 - 217 = 2300824361729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2300824492501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4940256 + ... + 5385886.

It is an arithmetic number, because the mean of its divisors is an integer number (147356687808).

Almost surely, 22300824492801 is an apocalyptic number.

It is an amenable number.

2300824492801 is a deficient number, since it is larger than the sum of its proper divisors (56882512127).

2300824492801 is a wasteful number, since it uses less digits than its factorization.

2300824492801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446472.

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 2300824492801 in words is "two trillion, three hundred billion, eight hundred twenty-four million, four hundred ninety-two thousand, eight hundred one".

Divisors: 1 73 107 661 7811 48253 70727 445631 5163071 32531063 47682517 294562091 3480823741 21503032643 31518143737 2300824492801