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13202231004 = 22324347181459
BaseRepresentation
bin11000100101110101…
…00000111011011100
31021002002022211020200
430102322200323130
5204014232343004
610022013343500
7645110053254
oct142272407334
937062284220
1013202231004
115665351616
122685497b90
13132525a611
148d356c964
1552409c239
hex312ea0edc

13202231004 has 72 divisors (see below), whose sum is σ = 34875160320. Its totient is φ = 4206922272.

The previous prime is 13202230999. The next prime is 13202231027. The reversal of 13202231004 is 40013220231.

13202231004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17974 + ... + 163485.

Almost surely, 213202231004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202231004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437580160).

13202231004 is an abundant number, since it is smaller than the sum of its proper divisors (21672929316).

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

13202231004 is a wasteful number, since it uses less digits than its factorization.

13202231004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181559 (or 181554 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13202231004 its reverse (40013220231), we get a palindrome (53215451235).

The spelling of 13202231004 in words is "thirteen billion, two hundred two million, two hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 43 47 86 94 129 141 172 188 258 282 387 423 516 564 774 846 1548 1692 2021 4042 6063 8084 12126 18189 24252 36378 72756 181459 362918 544377 725836 1088754 1633131 2177508 3266262 6532524 7802737 8528573 15605474 17057146 23408211 25585719 31210948 34114292 46816422 51171438 70224633 76757157 93632844 102342876 140449266 153514314 280898532 307028628 366728639 733457278 1100185917 1466914556 2200371834 3300557751 4400743668 6601115502 13202231004