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231002444013 = 311179229389439
BaseRepresentation
bin1101011100100011010…
…0011001000011101101
3211002020221212000112120
43113020310121003231
512241043111202023
6254042052023153
722455312243105
oct3271064310355
9732227760476
10231002444013
1189a70948260
123892a301ab9
1318a252989c3
14b275712205
1560200b38e3
hex35c8d190ed

231002444013 has 64 divisors (see below), whose sum is σ = 341003520000. Its totient is φ = 137940145920.

The previous prime is 231002444009. The next prime is 231002444027. The reversal of 231002444013 is 310444200132.

231002444013 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 231002444013 - 22 = 231002444009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231002448013) 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 63 ways as a sum of consecutive naturals, for example, 526201248 + ... + 526201686.

It is an arithmetic number, because the mean of its divisors is an integer number (5328180000).

Almost surely, 2231002444013 is an apocalyptic number.

It is an amenable number.

231002444013 is a deficient number, since it is larger than the sum of its proper divisors (110001075987).

231002444013 is a wasteful number, since it uses less digits than its factorization.

231002444013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 231002444013 its reverse (310444200132), we get a palindrome (541446644145).

The spelling of 231002444013 in words is "two hundred thirty-one billion, two million, four hundred forty-four thousand, thirteen".

Divisors: 1 3 11 33 179 229 389 439 537 687 1167 1317 1969 2519 4279 4829 5907 7557 12837 14487 40991 69631 78581 89081 100531 122973 170771 208893 235743 267243 301593 450901 512313 765941 864391 979891 1105841 1352703 1878481 2297823 2593173 2939673 3317523 5635443 15945499 17995049 30568009 39106559 47836497 53985147 91704027 117319677 175400489 197945539 336248099 430172149 526201467 593836617 1008744297 1290516447 7000074061 21000222183 77000814671 231002444013