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20132300112132 = 22313412541141907
BaseRepresentation
bin1001001001111011010101…
…00110001100000100000100
32122021121222121110112221210
410210331222212030010010
510114321422312042012
6110452352340411420
74145340110305335
oct444755246140404
978247877415853
1020132300112132
11646207362448a
1223119366a6b70
13b3061086c760
144d85a0dc428c
1524da49ade23c
hex124f6a98c104

20132300112132 has 144 divisors (see below), whose sum is σ = 51949038080576. Its totient is φ = 6032253772800.

The previous prime is 20132300112121. The next prime is 20132300112137. The reversal of 20132300112132 is 23121100323102.

It is a junction number, because it is equal to n+sod(n) for n = 20132300112099 and 20132300112108.

It is not an unprimeable number, because it can be changed into a prime (20132300112137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141798723 + ... + 141940629.

Almost surely, 220132300112132 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 20132300112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25974519040288).

20132300112132 is an abundant number, since it is smaller than the sum of its proper divisors (31816737968444).

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

20132300112132 is a wasteful number, since it uses less digits than its factorization.

20132300112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142550 (or 142507 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20132300112132 its reverse (23121100323102), we get a palindrome (43253400435234).

The spelling of 20132300112132 in words is "twenty trillion, one hundred thirty-two billion, three hundred million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 541 1066 1082 1599 1623 1681 2132 2164 3198 3246 3362 5043 6396 6492 6724 7033 10086 14066 20172 21099 21853 22181 28132 42198 43706 44362 65559 66543 84396 87412 88724 131118 133086 141907 262236 266172 283814 288353 425721 567628 576706 851442 865059 909421 1153412 1702884 1730118 1818842 1844791 2728263 3460236 3637684 3689582 5456526 5534373 5818187 7379164 10913052 11068746 11636374 11822473 17454561 22137492 23272748 23644946 34909122 35467419 47289892 69818244 70934838 75636431 76771687 141869676 151272862 153543374 226909293 230315061 238545667 302545724 307086748 453818586 460630122 477091334 715637001 907637172 921260244 954182668 998031931 1431274002 1996063862 2862548004 2994095793 3101093671 3147639167 3992127724 5988191586 6202187342 6295278334 9303281013 9442917501 11976383172 12404374684 12590556668 18606562026 18885835002 37213124052 37771670004 40919309171 81838618342 122757927513 129053205847 163677236684 245515855026 258106411694 387159617541 491031710052 516212823388 774319235082 1548638470164 1677691676011 3355383352022 5033075028033 6710766704044 10066150056066 20132300112132