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242405310011 = 17217925718233
BaseRepresentation
bin1110000111000001111…
…0110111111000111011
3212011200122100122000212
43201300132313320323
512432421224410021
6303205351021335
723341013065304
oct3416036677073
9764618318025
10242405310011
1193892529257
123ab9106a84b
1319b217c92a7
14ba37cd17ab
15648b1d085b
hex38707b7e3b

242405310011 has 24 divisors (see below), whose sum is σ = 259963596720. Its totient is φ = 225976451072.

The previous prime is 242405309959. The next prime is 242405310019. The reversal of 242405310011 is 110013504242.

It is a de Polignac number, because none of the positive numbers 2k-242405310011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242405310019) 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 23 ways as a sum of consecutive naturals, for example, 13285751 + ... + 13303983.

It is an arithmetic number, because the mean of its divisors is an integer number (10831816530).

Almost surely, 2242405310011 is an apocalyptic number.

242405310011 is a deficient number, since it is larger than the sum of its proper divisors (17558286709).

242405310011 is a wasteful number, since it uses less digits than its factorization.

242405310011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18703 (or 18686 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 242405310011 its reverse (110013504242), we get a palindrome (352418814253).

The spelling of 242405310011 in words is "two hundred forty-two billion, four hundred five million, three hundred ten thousand, eleven".

Divisors: 1 17 179 257 289 3043 4369 18233 46003 51731 74273 309961 782051 3263707 4685881 5269337 13294867 55483019 79659977 838772699 943211323 1354219609 14259135883 242405310011