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2300231124020 = 225115011556201
BaseRepresentation
bin100001011110010000011…
…101011000010000110100
322010220022001200012021002
4201132100131120100310
5300141333131432040
64520413411542432
7325120604644364
oct41362035302064
98126261605232
102300231124020
11807582558a75
123119728baa18
13138bac226a4b
147d4905969a4
153ec7aae2a15
hex21790758434

2300231124020 has 12 divisors (see below), whose sum is σ = 4830485360484. Its totient is φ = 920092449600.

The previous prime is 2300231124001. The next prime is 2300231124041. The reversal of 2300231124020 is 204211320032.

It can be written as a sum of positive squares in 2 ways, for example, as 340712694436 + 1959518429584 = 583706^2 + 1399828^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 115011556201 = 2300231124020 / (2 + 3 + 0 + 0 + 2 + 3 + 1 + 1 + 2 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2300231123983 and 2300231124001.

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 3 ways as a sum of consecutive naturals, for example, 57505778081 + ... + 57505778120.

It is an arithmetic number, because the mean of its divisors is an integer number (402540446707).

Almost surely, 22300231124020 is an apocalyptic number.

2300231124020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300231124020 is an abundant number, since it is smaller than the sum of its proper divisors (2530254236464).

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

2300231124020 is a wasteful number, since it uses less digits than its factorization.

2300231124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115011556210 (or 115011556208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2300231124020 its reverse (204211320032), we get a palindrome (2504442444052).

The spelling of 2300231124020 in words is "two trillion, three hundred billion, two hundred thirty-one million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 115011556201 230023112402 460046224804 575057781005 1150115562010 2300231124020