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2300101434320 = 24528751267929
BaseRepresentation
bin100001011110001000101…
…110101001101111010000
322010212222000122021102212
4201132020232221233100
5300141101431344240
64520352500131252
7325114441415324
oct41361056515720
98125860567385
102300101434320
118075163291a8
12311937396b28
13138b8b3b9591
147d47b277984
153ec6e526165
hex21788ba9bd0

2300101434320 has 20 divisors (see below), whose sum is σ = 5347735834980. Its totient is φ = 920040573696.

The previous prime is 2300101434223. The next prime is 2300101434331. The reversal of 2300101434320 is 234341010032.

It can be written as a sum of positive squares in 2 ways, for example, as 1509929779264 + 790171655056 = 1228792^2 + 888916^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14375633885 + ... + 14375634044.

It is an arithmetic number, because the mean of its divisors is an integer number (267386791749).

Almost surely, 22300101434320 is an apocalyptic number.

2300101434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300101434320 is an abundant number, since it is smaller than the sum of its proper divisors (3047634400660).

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

2300101434320 is a wasteful number, since it uses less digits than its factorization.

2300101434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28751267942 (or 28751267936 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2300101434320 its reverse (234341010032), we get a palindrome (2534442444352).

The spelling of 2300101434320 in words is "two trillion, three hundred billion, one hundred one million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28751267929 57502535858 115005071716 143756339645 230010143432 287512679290 460020286864 575025358580 1150050717160 2300101434320