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20231370471114 = 232111071053190679
BaseRepresentation
bin1001001100110011110111…
…01001100111011011001010
32122122002200222211020110200
410212121323221213123022
510122432321320033424
6111010055134153030
74155445135413225
oct446317351473312
978562628736420
1020231370471114
1164a0092222520
122328b85052776
13b39a6b8a804a
144dd2bc7b05bc
152513e73e48c9
hex12667ba676ca

20231370471114 has 96 divisors (see below), whose sum is σ = 48271630717440. Its totient is φ = 6072778202400.

The previous prime is 20231370471113. The next prime is 20231370471127. The reversal of 20231370471114 is 41117407313202.

20231370471114 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 1 + 3 + 70 + 471 + 114 = 666.

It is a super-2 number, since 2×202313704711142 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20231370471113) 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, 223064427 + ... + 223155105.

It is an arithmetic number, because the mean of its divisors is an integer number (502829486640).

Almost surely, 220231370471114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20231370471114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24135815358720).

20231370471114 is an abundant number, since it is smaller than the sum of its proper divisors (28040260246326).

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

20231370471114 is a wasteful number, since it uses less digits than its factorization.

20231370471114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101336 (or 101333 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 20231370471114 its reverse (41117407313202), we get a palindrome (61348777784316).

The spelling of 20231370471114 in words is "twenty trillion, two hundred thirty-one billion, three hundred seventy million, four hundred seventy-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1177 1926 2354 3531 7062 10531 10593 21062 21186 31593 63186 90679 94779 115841 181358 189558 231682 272037 347523 544074 695046 816111 997469 1042569 1126817 1632222 1994938 2085138 2253634 2992407 3380451 5984814 6760902 8977221 9702653 10141353 12394987 17954442 19405306 20282706 24789974 29107959 37184961 58215918 74369922 87323877 106729183 111554883 174647754 213458366 223109766 320187549 640375098 954940549 960562647 1909881098 1921125294 2864821647 5729643294 8594464941 10504346039 17188929882 21008692078 31513038117 63026076234 94539114351 102178638743 189078228702 204357277486 306535916229 613071832458 919607748687 1123965026173 1839215497374 2247930052346 3371895078519 6743790157038 10115685235557 20231370471114