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13200310003122 = 2341130012468371
BaseRepresentation
bin1100000000010110111111…
…0010011110010110110010
31201201221022022010000010000
43000011233302132112302
53212233213330044442
644024045543050430
72531455662466524
oct300055762362662
951657268100100
1013200310003122
11422a246957920
121592385140a16
13749a26298498
14338c81361a14
1517d584e43d4c
hexc016fc9e5b2

13200310003122 has 80 divisors (see below), whose sum is σ = 32278189752864. Its totient is φ = 3998759400000.

The previous prime is 13200310003063. The next prime is 13200310003169. The reversal of 13200310003122 is 22130001300231.

13200310003122 is a `hidden beast` number, since 1 + 320 + 0 + 31 + 0 + 0 + 0 + 312 + 2 = 666.

13200310003122 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 junction number, because it is equal to n+sod(n) for n = 13200310003095 and 13200310003104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4113597 + ... + 6581967.

Almost surely, 213200310003122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200310003122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139094876432).

13200310003122 is an abundant number, since it is smaller than the sum of its proper divisors (19077879749742).

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

13200310003122 is a wasteful number, since it uses less digits than its factorization.

13200310003122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471397 (or 2471388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13200310003122 its reverse (22130001300231), we get a palindrome (35330311303353).

The spelling of 13200310003122 in words is "thirteen trillion, two hundred billion, three hundred ten million, three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 3001 6002 9003 18006 27009 33011 54018 66022 81027 99033 162054 198066 243081 297099 486162 594198 891297 1782594 2468371 2673891 4936742 5347782 7405113 14810226 22215339 27152081 44430678 54304162 66646017 81456243 133292034 162912486 199938051 244368729 399876102 488737458 733106187 1466212374 2199318561 4398637122 7407581371 14815162742 22222744113 44445488226 66668232339 81483395081 133336464678 162966790162 200004697017 244450185243 400009394034 488900370486 600014091051 733350555729 1200028182102 1466701111458 2200051667187 4400103334374 6600155001561 13200310003122