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20002021211000 = 2353175701206383
BaseRepresentation
bin1001000110001000101010…
…10111100111101101111000
32121211011201020201122220102
410203010111113213231320
510110203114412223000
6110312445055414532
74133045506025213
oct443042527475570
977734636648812
1020002021211000
11641189a581854
1222b0638524448
13b2124ac7678a
144d216287877a
1524a4725383d5
hex1231155e7b78

20002021211000 has 128 divisors (see below), whose sum is σ = 49566882044160. Its totient is φ = 7528815360000.

The previous prime is 20002021210981. The next prime is 20002021211069. The reversal of 20002021211000 is 11212020002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96813809 + ... + 97020191.

It is an arithmetic number, because the mean of its divisors is an integer number (387241265970).

Almost surely, 220002021211000 is an apocalyptic number.

20002021211000 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 20002021211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24783441022080).

20002021211000 is an abundant number, since it is smaller than the sum of its proper divisors (29564860833160).

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

20002021211000 is a wasteful number, since it uses less digits than its factorization.

20002021211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212122 (or 212108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20002021211000 its reverse (11212020002), we get a palindrome (20013233231002).

The spelling of 20002021211000 in words is "twenty trillion, two billion, twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 5701 8500 11402 17000 22804 28505 45608 57010 96917 114020 142525 193834 206383 228040 285050 387668 412766 484585 570100 712625 775336 825532 969170 1031915 1140200 1425250 1651064 1938340 2063830 2422925 2850500 3508511 3876680 4127660 4845850 5159575 5701000 7017022 8255320 9691700 10319150 12114625 14034044 17542555 19383400 20638300 24229250 25797875 28068088 35085110 41276600 48458500 51595750 70170220 87712775 96917000 103191500 140340440 175425550 206383000 350851100 438563875 701702200 877127750 1176589483 1754255500 2353178966 3508511000 4706357932 5882947415 9412715864 11765894830 20002021211 23531789660 29414737075 40004042422 47063579320 58829474150 80008084844 100010106055 117658948300 147073685375 160016169688 200020212110 235317896600 294147370750 400040424220 500050530275 588294741500 800080848440 1000101060550 1176589483000 2000202121100 2500252651375 4000404242200 5000505302750 10001010605500 20002021211000