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242320141313 = 618961772341
BaseRepresentation
bin1110000110101101100…
…1111110110000000001
3212011110201002121112122
43201223121332300001
512432232424010223
6303153105334025
723335630134125
oct3415331766001
9764421077478
10242320141313
11938494477a8
123ab68637315
1319b09c79403
14ba2a881585
1564839aa5c8
hex386b67ec01

242320141313 has 16 divisors (see below), whose sum is σ = 249467046480. Its totient is φ = 235284403200.

The previous prime is 242320141267. The next prime is 242320141321. The reversal of 242320141313 is 313141023242.

242320141313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 67134364609 + 175185776704 = 259103^2 + 418552^2 .

It is a cyclic number.

It is not a de Polignac number, because 242320141313 - 212 = 242320137217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242325141313) 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 15 ways as a sum of consecutive naturals, for example, 3313523 + ... + 3385863.

It is an arithmetic number, because the mean of its divisors is an integer number (15591690405).

Almost surely, 2242320141313 is an apocalyptic number.

It is an amenable number.

242320141313 is a deficient number, since it is larger than the sum of its proper divisors (7146905167).

242320141313 is an equidigital number, since it uses as much as digits as its factorization.

242320141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73108.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 242320141313 its reverse (313141023242), we get a palindrome (555461164555).

The spelling of 242320141313 in words is "two hundred forty-two billion, three hundred twenty million, one hundred forty-one thousand, three hundred thirteen".

Divisors: 1 61 89 617 5429 37637 54913 72341 3349693 4412801 6438349 44634397 392739289 2722698217 3972461333 242320141313