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20411431131 = 3721321983521
BaseRepresentation
bin10011000000100111…
…011011100011011011
31221200111201010122210
4103000213123203123
5313300311244011
613213223450203
71321546205400
oct230047334333
957614633583
1020411431131
1187247a2353
123b578b6963
131c039bc300
14db8bc42a7
157e6e3b6a6
hex4c09db8db

20411431131 has 144 divisors (see below), whose sum is σ = 36590279040. Its totient is φ = 10057582080.

The previous prime is 20411431109. The next prime is 20411431141. The reversal of 20411431131 is 13113411402.

It is not a de Polignac number, because 20411431131 - 25 = 20411431099 is a prime.

It is a super-2 number, since 2×204114311312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20411431098 and 20411431107.

It is not an unprimeable number, because it can be changed into a prime (20411431141) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39177151 + ... + 39177671.

It is an arithmetic number, because the mean of its divisors is an integer number (254099160).

Almost surely, 220411431131 is an apocalyptic number.

20411431131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20411431131 is a deficient number, since it is larger than the sum of its proper divisors (16178847909).

20411431131 is a wasteful number, since it uses less digits than its factorization.

20411431131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 20411431131 its reverse (13113411402), we get a palindrome (33524842533).

The spelling of 20411431131 in words is "twenty billion, four hundred eleven million, four hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 13 19 21 39 49 57 83 91 133 147 169 247 249 273 399 507 521 581 637 741 931 1079 1183 1563 1577 1729 1743 1911 2793 3211 3237 3549 3647 4067 4731 5187 6773 7553 8281 9633 9899 10941 11039 12103 12201 14027 20319 20501 22477 22659 24843 25529 29697 33117 36309 42081 43243 47411 52871 61503 67431 69293 76587 77273 88049 98189 128687 129729 142233 143507 157339 158613 207879 231819 264147 266513 294567 302701 331877 386061 430521 472017 485051 562159 616343 687323 799539 821617 900809 908103 995631 1004549 1455153 1672931 1686477 1849029 1865591 2061969 2118907 2464851 2702427 3013647 3935113 4314401 5018793 5596773 5751319 6305663 6356721 7308067 10681021 11710517 11805339 12943203 13059137 17253957 18916989 21924201 27545791 32043063 35131551 39177411 40259233 51156469 74767147 81973619 82637373 120777699 138853273 153469407 224301441 245920857 358095283 416559819 523370029 971972911 1074285849 1570110087 2915918733 6803810377 20411431131