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24131421100 = 22521074634871
BaseRepresentation
bin10110011110010110…
…000100001110101100
32022021202112012120001
4112132112010032230
5343410120433400
615030312034044
71512666460243
oct263626041654
968252465501
1024131421100
11a263615926
124815692924
1323775c18c7
14124cc8995a
15963800a6a
hex59e5843ac

24131421100 has 72 divisors (see below), whose sum is σ = 52979609088. Its totient is φ = 9539745600.

The previous prime is 24131421073. The next prime is 24131421113. The reversal of 24131421100 is 112413142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4951665 + ... + 4956535.

It is an arithmetic number, because the mean of its divisors is an integer number (735827904).

Almost surely, 224131421100 is an apocalyptic number.

24131421100 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 24131421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26489804544).

24131421100 is an abundant number, since it is smaller than the sum of its proper divisors (28848187988).

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

24131421100 is a wasteful number, since it uses less digits than its factorization.

24131421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5455 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 24131421100 its reverse (112413142), we get a palindrome (24243834242).

The spelling of 24131421100 in words is "twenty-four billion, one hundred thirty-one million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 463 535 926 1070 1852 2140 2315 2675 4630 4871 5350 9260 9742 10700 11575 19484 23150 24355 46300 48710 49541 97420 99082 121775 198164 243550 247705 487100 495410 521197 990820 1042394 1238525 2084788 2255273 2477050 2605985 4510546 4954100 5211970 9021092 10423940 11276365 13029925 22552730 26059850 45105460 52119700 56381825 112763650 225527300 241314211 482628422 965256844 1206571055 2413142110 4826284220 6032855275 12065710550 24131421100