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20303144000 = 26536737879
BaseRepresentation
bin10010111010001010…
…010110010001000000
31221101221221120122022
4102322022112101000
5313040101102000
613154354501012
71316062606436
oct227212262100
957357846568
1020303144000
118679660657
123b27594768
131bb7436799
14da8676d56
157dc69b585
hex4ba296440

20303144000 has 112 divisors (see below), whose sum is σ = 51032542080. Its totient is φ = 7999833600.

The previous prime is 20303143997. The next prime is 20303144023. The reversal of 20303144000 is 44130302.

It is a self number, because there is not a number n which added to its sum of digits gives 20303144000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517061 + ... + 554939.

Almost surely, 220303144000 is an apocalyptic number.

20303144000 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 20303144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25516271040).

20303144000 is an abundant number, since it is smaller than the sum of its proper divisors (30729398080).

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

20303144000 is an equidigital number, since it uses as much as digits as its factorization.

20303144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37973 (or 37953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20303144000 its reverse (44130302), we get a palindrome (20347274302).

The spelling of 20303144000 in words is "twenty billion, three hundred three million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 125 134 160 200 250 268 320 335 400 500 536 670 800 1000 1072 1340 1600 1675 2000 2144 2680 3350 4000 4288 5360 6700 8000 8375 10720 13400 16750 21440 26800 33500 37879 53600 67000 75758 107200 134000 151516 189395 268000 303032 378790 536000 606064 757580 946975 1212128 1515160 1893950 2424256 2537893 3030320 3787900 4734875 5075786 6060640 7575800 9469750 10151572 12121280 12689465 15151600 18939500 20303144 25378930 30303200 37879000 40606288 50757860 60606400 63447325 75758000 81212576 101515720 126894650 151516000 162425152 203031440 253789300 303032000 317236625 406062880 507578600 634473250 812125760 1015157200 1268946500 2030314400 2537893000 4060628800 5075786000 10151572000 20303144000