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20124041000 = 235373777699
BaseRepresentation
bin10010101111011111…
…000111111100101000
31220221110221012111212
4102233133013330220
5312203223303000
613124520012252
71311456345320
oct225737077450
956843835455
1020124041000
118597550948
123a97601088
131b892b7c8b
14d8c974280
157cbabdc35
hex4af7c7f28

20124041000 has 128 divisors (see below), whose sum is σ = 55272672000. Its totient is φ = 6713107200.

The previous prime is 20124040999. The next prime is 20124041009. The reversal of 20124041000 is 14042102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20124041009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220151 + ... + 297849.

It is an arithmetic number, because the mean of its divisors is an integer number (431817750).

Almost surely, 220124041000 is an apocalyptic number.

20124041000 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 20124041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27636336000).

20124041000 is an abundant number, since it is smaller than the sum of its proper divisors (35148631000).

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

20124041000 is a wasteful number, since it uses less digits than its factorization.

20124041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77764 (or 77750 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20124041000 its reverse (14042102), we get a palindrome (20138083102).

The spelling of 20124041000 in words is "twenty billion, one hundred twenty-four million, forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 50 56 70 74 100 125 140 148 175 185 200 250 259 280 296 350 370 500 518 700 740 875 925 1000 1036 1295 1400 1480 1750 1850 2072 2590 3500 3700 4625 5180 6475 7000 7400 9250 10360 12950 18500 25900 32375 37000 51800 64750 77699 129500 155398 259000 310796 388495 543893 621592 776990 1087786 1553980 1942475 2175572 2719465 2874863 3107960 3884950 4351144 5438930 5749726 7769900 9712375 10877860 11499452 13597325 14374315 15539800 19424750 20124041 21755720 22998904 27194650 28748630 38849500 40248082 54389300 57497260 67986625 71871575 77699000 80496164 100620205 108778600 114994520 135973250 143743150 160992328 201240410 271946500 287486300 359357875 402480820 503101025 543893000 574972600 718715750 804961640 1006202050 1437431500 2012404100 2515505125 2874863000 4024808200 5031010250 10062020500 20124041000