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20523241431 = 3471115720959
BaseRepresentation
bin10011000111010001…
…111100111111010111
31221222022002200120000
4103013101330333113
5314012422211211
613232300142343
71324404450060
oct230721747727
957868080500
1020523241431
118781920060
123b892379b3
131c20c09654
14dc99ab567
15801b75656
hex4c747cfd7

20523241431 has 80 divisors (see below), whose sum is σ = 38468474880. Its totient is φ = 10593011520.

The previous prime is 20523241421. The next prime is 20523241433. The reversal of 20523241431 is 13414232502.

20523241431 is a `hidden beast` number, since 205 + 2 + 3 + 24 + 1 + 431 = 666.

It is not a de Polignac number, because 20523241431 - 25 = 20523241399 is a prime.

It is a super-3 number, since 3×205232414313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20523241395 and 20523241404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20523241433) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 968730 + ... + 989688.

It is an arithmetic number, because the mean of its divisors is an integer number (480855936).

Almost surely, 220523241431 is an apocalyptic number.

20523241431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20523241431 is a deficient number, since it is larger than the sum of its proper divisors (17945233449).

20523241431 is a wasteful number, since it uses less digits than its factorization.

20523241431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21146 (or 21137 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20523241431 its reverse (13414232502), we get a palindrome (33937473933).

The spelling of 20523241431 in words is "twenty billion, five hundred twenty-three million, two hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 157 189 231 297 471 567 693 891 1099 1413 1727 2079 3297 4239 5181 6237 9891 12089 12717 15543 20959 29673 36267 46629 62877 89019 108801 139887 146713 188631 230549 326403 440139 565893 691647 979209 1320417 1613843 1697679 2074941 3290563 3961251 4841529 6224823 9871689 11883753 14524587 18674469 23033941 29615067 36196193 43573761 69101823 88845201 108588579 130721283 207305469 253373351 266535603 325765737 621916407 760120053 977297211 1865749221 2280360159 2931891633 6841080477 20523241431