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2305434210241 = 171131200121921
BaseRepresentation
bin100001100011000110100…
…101100100111111000001
322011101201200012100202011
4201203012211210333001
5300233012124211431
64523034000052521
7325363544312101
oct41430645447701
98141650170664
102305434210241
11809802566728
12312985304141
1313952b1805a6
147d825601201
153ee827b2cb1
hex218c6964fc1

2305434210241 has 8 divisors (see below), whose sum is σ = 2462650183944. Its totient is φ = 2150618480640.

The previous prime is 2305434210109. The next prime is 2305434210259. The reversal of 2305434210241 is 1420124345032.

It can be written as a sum of positive squares in 4 ways, for example, as 263088400 + 2305171121841 = 16220^2 + 1518279^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2305434210241 - 219 = 2305433685953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2305434210641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600059040 + ... + 600062881.

It is an arithmetic number, because the mean of its divisors is an integer number (307831272993).

Almost surely, 22305434210241 is an apocalyptic number.

It is an amenable number.

2305434210241 is a deficient number, since it is larger than the sum of its proper divisors (157215973703).

2305434210241 is a wasteful number, since it uses less digits than its factorization.

2305434210241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200122051.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 2305434210241 its reverse (1420124345032), we get a palindrome (3725558555273).

The spelling of 2305434210241 in words is "two trillion, three hundred five billion, four hundred thirty-four million, two hundred ten thousand, two hundred forty-one".

Divisors: 1 17 113 1921 1200121921 20402072657 135613777073 2305434210241