Search a number
-
+
243513305013 = 31121147158481
BaseRepresentation
bin1110001011001010000…
…1100010011110110101
3212021112212020121102210
43202302201202132311
512442203401230023
6303511331124033
723410325640366
oct3426241423665
9767485217383
10243513305013
1194300a04300
123b240143619
1319c6a219034
14bb01111b6d
1565035e5593
hex38b28627b5

243513305013 has 24 divisors (see below), whose sum is σ = 356921728128. Its totient is φ = 147568432000.

The previous prime is 243513305011. The next prime is 243513305053. The reversal of 243513305013 is 310503315342.

243513305013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 243513305013 - 21 = 243513305011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243513305011) 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 23 ways as a sum of consecutive naturals, for example, 4134733 + ... + 4193213.

It is an arithmetic number, because the mean of its divisors is an integer number (14871738672).

Almost surely, 2243513305013 is an apocalyptic number.

It is an amenable number.

243513305013 is a deficient number, since it is larger than the sum of its proper divisors (113408423115).

243513305013 is a wasteful number, since it uses less digits than its factorization.

243513305013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69977 (or 69966 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 243513305013 in words is "two hundred forty-three billion, five hundred thirteen million, three hundred five thousand, thirteen".

Divisors: 1 3 11 33 121 363 11471 34413 58481 126181 175443 378543 643291 1387991 1929873 4163973 7076201 21228603 670835551 2012506653 7379191061 22137573183 81171101671 243513305013