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24113213000 = 2353223108131
BaseRepresentation
bin10110011101010000…
…100110111001001000
32022020111021010201222
4112131100212321020
5343340440304000
615024421501212
71512355633352
oct263520467110
968214233658
1024113213000
11a254309908
12480b571808
1323738b7c96
14124a6aa0d2
15961e05a85
hex59d426e48

24113213000 has 64 divisors (see below), whose sum is σ = 56678469120. Its totient is φ = 9601944000.

The previous prime is 24113212957. The next prime is 24113213009. The reversal of 24113213000 is 31231142.

It is a self number, because there is not a number n which added to its sum of digits gives 24113213000.

It is not an unprimeable number, because it can be changed into a prime (24113213009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168935 + ... + 277065.

It is an arithmetic number, because the mean of its divisors is an integer number (885601080).

Almost surely, 224113213000 is an apocalyptic number.

24113213000 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 24113213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28339234560).

24113213000 is an abundant number, since it is smaller than the sum of its proper divisors (32565256120).

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

24113213000 is a wasteful number, since it uses less digits than its factorization.

24113213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108375 (or 108361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 24113213000 its reverse (31231142), we get a palindrome (24144444142).

The spelling of 24113213000 in words is "twenty-four billion, one hundred thirteen million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 223 250 446 500 892 1000 1115 1784 2230 4460 5575 8920 11150 22300 27875 44600 55750 108131 111500 216262 223000 432524 540655 865048 1081310 2162620 2703275 4325240 5406550 10813100 13516375 21626200 24113213 27032750 48226426 54065500 96452852 108131000 120566065 192905704 241132130 482264260 602830325 964528520 1205660650 2411321300 3014151625 4822642600 6028303250 12056606500 24113213000