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20321133130312 = 23719281499136207
BaseRepresentation
bin1001001111011011000011…
…11010111111001001001000
32122221200101201002210012221
410213231201322333021020
510130420140040132222
6111115222155343424
74165103423421130
oct447554172771110
978850351083187
1020321133130312
116525164976993
122342456451b74
13b4537549a981
14503795d69ac0
152538ec9dd0c7
hex127b61ebf248

20321133130312 has 128 divisors (see below), whose sum is σ = 46092787200000. Its totient is φ = 8204787924480.

The previous prime is 20321133130303. The next prime is 20321133130339. The reversal of 20321133130312 is 21303133112302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149124913 + ... + 149261119.

It is an arithmetic number, because the mean of its divisors is an integer number (360099900000).

Almost surely, 220321133130312 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 20321133130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23046393600000).

20321133130312 is an abundant number, since it is smaller than the sum of its proper divisors (25771654069688).

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

20321133130312 is a wasteful number, since it uses less digits than its factorization.

20321133130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137019 (or 137015 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 20321133130312 its reverse (21303133112302), we get a palindrome (41624266242614).

The spelling of 20321133130312 in words is "twenty trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 281 499 532 562 998 1064 1124 1967 1996 2248 3493 3934 3992 5339 6986 7868 9481 10678 13972 15736 18962 21356 27944 37373 37924 42712 66367 74746 75848 132734 136207 140219 149492 265468 272414 280438 298984 530936 544828 560876 953449 981533 1089656 1121752 1906898 1963066 2587933 2664161 3813796 3926132 5175866 5328322 7627592 7852264 10351732 10656644 18115531 18649127 20703464 21313288 36231062 37298254 38274167 67967293 72462124 74596508 76548334 135934586 144924248 149193016 153096668 267919169 271869172 306193336 475771051 535838338 543738344 727209173 951542102 1071676676 1291378567 1454418346 1903084204 2143353352 2582757134 2908836692 3806168408 5090464211 5165514268 5817673384 9039649969 10180928422 10331028536 18079299938 19098809333 20361856844 36158599876 38197618666 40723713688 72317199752 76395237332 133691665331 152790474664 267383330662 362877377327 534766661324 725754754654 1069533322648 1451509509308 2540141641289 2903019018616 5080283282578 10160566565156 20321133130312