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20011323000 = 2335346314407
BaseRepresentation
bin10010101000110001…
…001000111001111000
31220122121211112111010
4102220301020321320
5311440344314000
613105412033520
71305620303364
oct225061107170
956577745433
1020011323000
118539963179
123a659028a0
131b6bb40736
14d7b9d22a4
157c1c55d50
hex4a8c48e78

20011323000 has 128 divisors (see below), whose sum is σ = 62574520320. Its totient is φ = 5324457600.

The previous prime is 20011322993. The next prime is 20011323001. The reversal of 20011323000 is 32311002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011323001) 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, 1381797 + ... + 1396203.

It is an arithmetic number, because the mean of its divisors is an integer number (488863440).

Almost surely, 220011323000 is an apocalyptic number.

20011323000 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 20011323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31287260160).

20011323000 is an abundant number, since it is smaller than the sum of its proper divisors (42563197320).

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

20011323000 is a wasteful number, since it uses less digits than its factorization.

20011323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14894 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20011323000 its reverse (32311002), we get a palindrome (20043634002).

The spelling of 20011323000 in words is "twenty billion, eleven million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 463 500 600 750 926 1000 1389 1500 1852 2315 2778 3000 3704 4630 5556 6945 9260 11112 11575 13890 14407 18520 23150 27780 28814 34725 43221 46300 55560 57628 57875 69450 72035 86442 92600 115256 115750 138900 144070 172884 173625 216105 231500 277800 288140 345768 347250 360175 432210 463000 576280 694500 720350 864420 1080525 1389000 1440700 1728840 1800875 2161050 2881400 3601750 4322100 5402625 6670441 7203500 8644200 10805250 13340882 14407000 20011323 21610500 26681764 33352205 40022646 43221000 53363528 66704410 80045292 100056615 133408820 160090584 166761025 200113230 266817640 333522050 400226460 500283075 667044100 800452920 833805125 1000566150 1334088200 1667610250 2001132300 2501415375 3335220500 4002264600 5002830750 6670441000 10005661500 20011323000