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24100142100 = 22352467172021
BaseRepresentation
bin10110011100011110…
…101111110000010100
32022012120200001211120
4112130132233300110
5343324114021400
615023233403540
71512136553646
oct263436576024
968176601746
1024100142100
11a2479a1511
1248071095b0
132370c8c718
141248a66896
15960bc2ca0
hex59c7afc14

24100142100 has 72 divisors (see below), whose sum is σ = 69879464928. Its totient is φ = 6412905600.

The previous prime is 24100142083. The next prime is 24100142137. The reversal of 24100142100 is 124100142.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 24100142100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54090 + ... + 226110.

It is an arithmetic number, because the mean of its divisors is an integer number (970548124).

Almost surely, 224100142100 is an apocalyptic number.

24100142100 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 24100142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34939732464).

24100142100 is an abundant number, since it is smaller than the sum of its proper divisors (45779322828).

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

24100142100 is a wasteful number, since it uses less digits than its factorization.

24100142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172505 (or 172498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 24100142100 its reverse (124100142), we get a palindrome (24224242242).

The spelling of 24100142100 in words is "twenty-four billion, one hundred million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 467 934 1401 1868 2335 2802 4670 5604 7005 9340 11675 14010 23350 28020 35025 46700 70050 140100 172021 344042 516063 688084 860105 1032126 1720210 2064252 2580315 3440420 4300525 5160630 8601050 10321260 12901575 17202100 25803150 51606300 80333807 160667614 241001421 321335228 401669035 482002842 803338070 964005684 1205007105 1606676140 2008345175 2410014210 4016690350 4820028420 6025035525 8033380700 12050071050 24100142100