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12013133300010 = 2325181947778727
BaseRepresentation
bin1010111011010000011010…
…0010110000000100101010
31120112102222220200212111100
42232310012202300010222
53033310344111100020
641314431322142230
72346630433143633
oct256640642600452
946472886625440
1012013133300010
113911817625557
121420286051976
13691aab59411b
142d761dd2688a
1515c750e03a90
hexaed068b012a

12013133300010 has 96 divisors (see below), whose sum is σ = 31439915724672. Its totient is φ = 3182435118720.

The previous prime is 12013133299991. The next prime is 12013133300033. The reversal of 12013133300010 is 1000333131021.

It is a happy number.

12013133300010 is a `hidden beast` number, since 1 + 20 + 1 + 313 + 330 + 0 + 0 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15037267 + ... + 15815993.

It is an arithmetic number, because the mean of its divisors is an integer number (327499122132).

Almost surely, 212013133300010 is an apocalyptic number.

12013133300010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013133300010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15719957862336).

12013133300010 is an abundant number, since it is smaller than the sum of its proper divisors (19426782424662).

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

12013133300010 is a wasteful number, since it uses less digits than its factorization.

12013133300010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779868 (or 779865 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12013133300010 its reverse (1000333131021), we get a palindrome (13013466431031).

The spelling of 12013133300010 in words is "twelve trillion, thirteen billion, one hundred thirty-three million, three hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 947 1086 1629 1810 1894 2715 2841 3258 4735 5430 5682 8145 8523 9470 14205 16290 17046 28410 42615 85230 171407 342814 514221 778727 857035 1028442 1542663 1557454 1714070 2336181 2571105 3085326 3893635 4672362 5142210 7008543 7713315 7787270 11680905 14017086 15426630 23361810 35042715 70085430 140949587 281899174 422848761 704747935 737454469 845697522 1268546283 1409495870 1474908938 2114243805 2212363407 2537092566 3687272345 4228487610 4424726814 6342731415 6637090221 7374544690 11061817035 12685462830 13274180442 22123634070 33185451105 66370902210 133479258889 266958517778 400437776667 667396294445 800875553334 1201313330001 1334792588890 2002188883335 2402626660002 4004377766670 6006566650005 12013133300010