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20132431040100 = 22352234367854503
BaseRepresentation
bin1001001001111011100100…
…11001101000111001100100
32122021122022201211101100210
410210331302121220321210
510114322204321240400
6110452413334535420
74145343260212461
oct444756231507144
978248281741323
1020132431040100
11646213051a615
122311972507570
13b30631a21722
144d85b4546668
1524da56352950
hex124f72668e64

20132431040100 has 144 divisors (see below), whose sum is σ = 62195981202432. Its totient is φ = 5015804787840.

The previous prime is 20132431040063. The next prime is 20132431040107. The reversal of 20132431040100 is 104013423102.

It is not an unprimeable number, because it can be changed into a prime (20132431040107) 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, 33630552 + ... + 34223951.

It is an arithmetic number, because the mean of its divisors is an integer number (431916536128).

Almost surely, 220132431040100 is an apocalyptic number.

20132431040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132431040100 is an abundant number, since it is smaller than the sum of its proper divisors (42063550162332).

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

20132431040100 is a wasteful number, since it uses less digits than its factorization.

20132431040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67854586 (or 67854579 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20132431040100 its reverse (104013423102), we get a palindrome (20236444463202).

The spelling of 20132431040100 in words is "twenty trillion, one hundred thirty-two billion, four hundred thirty-one million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 43 46 50 60 69 75 86 92 100 115 129 138 150 172 215 230 258 276 300 345 430 460 516 575 645 690 860 989 1075 1150 1290 1380 1725 1978 2150 2300 2580 2967 3225 3450 3956 4300 4945 5934 6450 6900 9890 11868 12900 14835 19780 24725 29670 49450 59340 74175 98900 148350 296700 67854503 135709006 203563509 271418012 339272515 407127018 678545030 814254036 1017817545 1357090060 1560653569 1696362575 2035635090 2917743629 3121307138 3392725150 4071270180 4681960707 5089087725 5835487258 6242614276 6785450300 7803267845 8753230887 9363921414 10178175450 11670974516 14588718145 15606535690 17506461774 18727842828 20356350900 23409803535 29177436290 31213071380 35012923548 39016339225 43766154435 46819607070 58354872580 67108103467 72943590725 78032678450 87532308870 93639214140 117049017675 134216206934 145887181450 156065356900 175064617740 201324310401 218830772175 234098035350 268432413868 291774362900 335540517335 402648620802 437661544350 468196070700 671081034670 805297241604 875323088700 1006621552005 1342162069340 1677702586675 2013243104010 3355405173350 4026486208020 5033107760025 6710810346700 10066215520050 20132431040100