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2300531303413 = 721711324440197
BaseRepresentation
bin100001011110100010010…
…110011110001111110101
322010221001222111212222101
4201132202112132033311
5300142442003202123
64520503253502101
7325131211302100
oct41364226361765
98127058455871
102300531303413
11807716a45212
12311a37341931
13138c294883a5
147d4bc3b5737
153ec97139aad
hex217a259e3f5

2300531303413 has 24 divisors (see below), whose sum is σ = 2858623318872. Its totient is φ = 1839466911744.

The previous prime is 2300531303407. The next prime is 2300531303429. The reversal of 2300531303413 is 3143031350032.

It can be written as a sum of positive squares in 4 ways, for example, as 13349953764 + 2287181349649 = 115542^2 + 1512343^2 .

It is not a de Polignac number, because 2300531303413 - 217 = 2300531172341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300531303453) 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 23 ways as a sum of consecutive naturals, for example, 12125970 + ... + 12314227.

It is an arithmetic number, because the mean of its divisors is an integer number (119109304953).

Almost surely, 22300531303413 is an apocalyptic number.

It is an amenable number.

2300531303413 is a deficient number, since it is larger than the sum of its proper divisors (558092015459).

2300531303413 is a wasteful number, since it uses less digits than its factorization.

2300531303413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24440341 (or 24440334 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 2300531303413 its reverse (3143031350032), we get a palindrome (5443562653445).

The spelling of 2300531303413 in words is "two trillion, three hundred billion, five hundred thirty-one million, three hundred three thousand, four hundred thirteen".

Divisors: 1 7 17 49 113 119 791 833 1921 5537 13447 94129 24440197 171081379 415483349 1197569653 2761742261 2908383443 19332195827 20358684101 46949618437 135325370789 328647329059 2300531303413