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2300101434319 = 13800922091507
BaseRepresentation
bin100001011110001000101…
…110101001101111001111
322010212222000122021102211
4201132020232221233033
5300141101431344234
64520352500131251
7325114441415323
oct41361056515717
98125860567384
102300101434319
118075163291a7
12311937396b27
13138b8b3b9590
147d47b277983
153ec6e526164
hex21788ba9bcf

2300101434319 has 8 divisors (see below), whose sum is σ = 2477341707120. Its totient is φ = 2122905360576.

The previous prime is 2300101434223. The next prime is 2300101434331. The reversal of 2300101434319 is 9134341010032.

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

It is not a de Polignac number, because 2300101434319 - 211 = 2300101432271 is a prime.

It is a super-2 number, since 2×23001014343192 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300101434019) 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 7 ways as a sum of consecutive naturals, for example, 10941637 + ... + 11149870.

It is an arithmetic number, because the mean of its divisors is an integer number (309667713390).

Almost surely, 22300101434319 is an apocalyptic number.

2300101434319 is a deficient number, since it is larger than the sum of its proper divisors (177240272801).

2300101434319 is a wasteful number, since it uses less digits than its factorization.

2300101434319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22099529.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 2300101434319 in words is "two trillion, three hundred billion, one hundred one million, four hundred thirty-four thousand, three hundred nineteen".

Divisors: 1 13 8009 104117 22091507 287189591 176930879563 2300101434319