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24121331000 = 23531310717341
BaseRepresentation
bin10110011101101111…
…100100110100111000
32022021001112120112122
4112131233210310320
5343400030043000
615025311500412
71512514634114
oct263557446470
968231476478
1024121331000
11a258953aa8
124812227708
13237549b030
14124b7c0744
159629ab085
hex59dbe4d38

24121331000 has 128 divisors (see below), whose sum is σ = 61357383360. Its totient is φ = 8822592000.

The previous prime is 24121330997. The next prime is 24121331051. The reversal of 24121331000 is 13312142.

It is a super-2 number, since 2×241213310002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24121331000.

It is a congruent number.

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, 1382330 + ... + 1399670.

Almost surely, 224121331000 is an apocalyptic number.

24121331000 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 24121331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30678691680).

24121331000 is an abundant number, since it is smaller than the sum of its proper divisors (37236052360).

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

24121331000 is a wasteful number, since it uses less digits than its factorization.

24121331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17482 (or 17468 counting only the distinct ones).

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

Adding to 24121331000 its reverse (13312142), we get a palindrome (24134643142).

The spelling of 24121331000 in words is "twenty-four billion, one hundred twenty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 107 125 130 200 214 250 260 325 428 500 520 535 650 856 1000 1070 1300 1391 1625 2140 2600 2675 2782 3250 4280 5350 5564 6500 6955 10700 11128 13000 13375 13910 17341 21400 26750 27820 34682 34775 53500 55640 69364 69550 86705 107000 138728 139100 173410 173875 225433 278200 346820 347750 433525 450866 693640 695500 867050 901732 1127165 1391000 1734100 1803464 1855487 2167625 2254330 3468200 3710974 4335250 4508660 5635825 7421948 8670500 9017320 9277435 11271650 14843896 17341000 18554870 22543300 24121331 28179125 37109740 45086600 46387175 48242662 56358250 74219480 92774350 96485324 112716500 120606655 185548700 192970648 225433000 231935875 241213310 371097400 463871750 482426620 603033275 927743500 964853240 1206066550 1855487000 2412133100 3015166375 4824266200 6030332750 12060665500 24121331000