Search a number
-
+
20031303000 = 233538380447
BaseRepresentation
bin10010101001111101…
…010110110101011000
31220201000102121220010
4102221331112311120
5312011003144000
613111404201520
71306252160202
oct225175266530
956630377803
1020031303000
11854a16a475
123a705392a0
131b73017a17
14d80513772
157c38a0d50
hex4a9f56d58

20031303000 has 128 divisors (see below), whose sum is σ = 63251435520. Its totient is φ = 5277257600.

The previous prime is 20031302983. The next prime is 20031303043. The reversal of 20031303000 is 30313002.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208777 + ... + 289223.

It is an arithmetic number, because the mean of its divisors is an integer number (494151840).

Almost surely, 220031303000 is an apocalyptic number.

20031303000 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 20031303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31625717760).

20031303000 is an abundant number, since it is smaller than the sum of its proper divisors (43220132520).

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

20031303000 is a wasteful number, since it uses less digits than its factorization.

20031303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80554 (or 80540 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 20031303000 its reverse (30313002), we get a palindrome (20061616002).

The spelling of 20031303000 in words is "twenty billion, thirty-one million, three hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 125 150 166 200 249 250 300 332 375 415 498 500 600 664 750 830 996 1000 1245 1500 1660 1992 2075 2490 3000 3320 4150 4980 6225 8300 9960 10375 12450 16600 20750 24900 31125 41500 49800 62250 80447 83000 124500 160894 241341 249000 321788 402235 482682 643576 804470 965364 1206705 1608940 1930728 2011175 2413410 3217880 4022350 4826820 6033525 6677101 8044700 9653640 10055875 12067050 13354202 16089400 20031303 20111750 24134100 26708404 30167625 33385505 40062606 40223500 48268200 53416808 60335250 66771010 80125212 80447000 100156515 120670500 133542020 160250424 166927525 200313030 241341000 267084040 333855050 400626060 500782575 667710100 801252120 834637625 1001565150 1335420200 1669275250 2003130300 2503912875 3338550500 4006260600 5007825750 6677101000 10015651500 20031303000