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231241133420 = 225111975699377
BaseRepresentation
bin1101011101011100001…
…0111010110101101100
3211002212120222200211222
43113113002322311230
512242040212232140
6254121500002512
722464241126433
oct3272702726554
9732776880758
10231241133420
118a083656130
1238996230438
1318a6287b13b
14b2992c611a
1560360115b5
hex35d70bad6c

231241133420 has 96 divisors (see below), whose sum is σ = 533434144320. Its totient is φ = 83504906240.

The previous prime is 231241133399. The next prime is 231241133491. The reversal of 231241133420 is 24331142132.

It is a self number, because there is not a number n which added to its sum of digits gives 231241133420.

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, 24655772 + ... + 24665148.

It is an arithmetic number, because the mean of its divisors is an integer number (5556605670).

Almost surely, 2231241133420 is an apocalyptic number.

231241133420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231241133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266717072160).

231241133420 is an abundant number, since it is smaller than the sum of its proper divisors (302193010900).

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

231241133420 is a wasteful number, since it uses less digits than its factorization.

231241133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10163 (or 10161 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 231241133420 its reverse (24331142132), we get a palindrome (255572275552).

The spelling of 231241133420 in words is "two hundred thirty-one billion, two hundred forty-one million, one hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 569 788 985 1138 1970 2167 2276 2845 3940 4334 5690 6259 8668 9377 10835 11380 12518 18754 21670 25036 31295 37508 43340 46885 62590 93770 103147 112093 125180 187540 206294 224186 412588 448372 515735 560465 1031470 1120930 1233023 1847269 2062940 2241860 2466046 3694538 4932092 5335513 6165115 7389076 9236345 10671026 12330230 18472690 20319959 21342052 24660460 26677565 36945380 40639918 53355130 58690643 81279836 101599795 106710260 117381286 203199590 234762572 293453215 406399180 586906430 1051096061 1173812860 2102192122 4204384244 5255480305 10510960610 11562056671 21021921220 23124113342 46248226684 57810283355 115620566710 231241133420