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3132121304016 = 2432172011763601
BaseRepresentation
bin101101100101000000111…
…110100100101111010000
3102002102112220210221010100
4231211000332210233100
5402304041023212031
610354513205332400
7442200612545205
oct55450076445720
912072486727110
103132121304016
11aa8363904a21
12427039107100
131994860413c3
14ab849dd5cac
155671892bde6
hex2d940fa4bd0

3132121304016 has 120 divisors (see below), whose sum is σ = 9281819691144. Its totient is φ = 982561996800.

The previous prime is 3132121304009. The next prime is 3132121304041. The reversal of 3132121304016 is 6104031212313.

It is a happy number.

3132121304016 is a `hidden beast` number, since 3 + 1 + 321 + 21 + 304 + 0 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1050461006400 + 2081660297616 = 1024920^2 + 1442796^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49214616 + ... + 49278216.

Almost surely, 23132121304016 is an apocalyptic number.

3132121304016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3132121304016 is an abundant number, since it is smaller than the sum of its proper divisors (6149698387128).

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

3132121304016 is a wasteful number, since it uses less digits than its factorization.

3132121304016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83749 (or 83740 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3132121304016 its reverse (6104031212313), we get a palindrome (9236152516329).

The spelling of 3132121304016 in words is "three trillion, one hundred thirty-two billion, one hundred twenty-one million, three hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 20117 40234 60351 63601 80468 120702 127202 160936 181053 190803 241404 254404 321872 341989 362106 381606 482808 508808 572409 683978 724212 763212 965616 1017616 1025967 1081217 1144818 1367956 1448424 1526424 2051934 2162434 2289636 2735912 2896848 3052848 3077901 3243651 4103868 4324868 4579272 5471824 6155802 6487302 8207736 8649736 9158544 9730953 12311604 12974604 16415472 17299472 19461906 24623208 25949208 38923812 49246416 51898416 77847624 155695248 1279461317 2558922634 3838383951 5117845268 7676767902 10235690536 11515151853 15353535804 20471381072 21750842389 23030303706 30707071608 43501684778 46060607412 61414143216 65252527167 87003369556 92121214824 130505054334 174006739112 184242429648 195757581501 261010108668 348013478224 391515163002 522020217336 783030326004 1044040434672 1566060652008 3132121304016