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24130231000 = 235333172901
BaseRepresentation
bin10110011110010001…
…100001101011011000
32022021200021202001021
4112132101201223120
5343404314343000
615030230332224
71512653402461
oct263621415330
968250252037
1024130231000
11a262982777
1248151ba074
132377295cc5
14124ca59d68
1596366811a
hex59e461ad8

24130231000 has 64 divisors (see below), whose sum is σ = 56636105760. Its totient is φ = 9622800000.

The previous prime is 24130230989. The next prime is 24130231003. The reversal of 24130231000 is 13203142.

It is a happy number.

It is a super-2 number, since 2×241302310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24130231003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 294550 + ... + 367450.

Almost surely, 224130231000 is an apocalyptic number.

24130231000 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 24130231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28318052880).

24130231000 is an abundant number, since it is smaller than the sum of its proper divisors (32505874760).

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

24130231000 is a wasteful number, since it uses less digits than its factorization.

24130231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73253 (or 73239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 24130231000 its reverse (13203142), we get a palindrome (24143434142).

The spelling of 24130231000 in words is "twenty-four billion, one hundred thirty million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 331 500 662 1000 1324 1655 2648 3310 6620 8275 13240 16550 33100 41375 66200 72901 82750 145802 165500 291604 331000 364505 583208 729010 1458020 1822525 2916040 3645050 7290100 9112625 14580200 18225250 24130231 36450500 48260462 72901000 96520924 120651155 193041848 241302310 482604620 603255775 965209240 1206511550 2413023100 3016278875 4826046200 6032557750 12065115500 24130231000