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20012030022000 = 2435319175544123
BaseRepresentation
bin1001000110011011010011…
…11100001101000101110000
32121212010112210001221110010
410203031221330031011300
510110334114141201000
6110321222155134520
74133551521355212
oct443155174150560
977763483057403
1020012030022000
116416066264685
1222b2570444440
13b2218472a553
144d2831c525b2
1524a85b086d50
hex123369f0d170

20012030022000 has 160 divisors (see below), whose sum is σ = 67914510693120. Its totient is φ = 5055670713600.

The previous prime is 20012030021969. The next prime is 20012030022001. The reversal of 20012030022000 is 22003021002.

It is a super-3 number, since 3×200120300220003 (a number of 41 digits) contains 333 as substring.

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 (20012030022001) 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, 87658062 + ... + 87886061.

It is an arithmetic number, because the mean of its divisors is an integer number (424465691832).

Almost surely, 220012030022000 is an apocalyptic number.

20012030022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012030022000 is an abundant number, since it is smaller than the sum of its proper divisors (47902480671120).

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

20012030022000 is a wasteful number, since it uses less digits than its factorization.

20012030022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175544168 (or 175544152 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20012030022000 its reverse (22003021002), we get a palindrome (20034033043002).

The spelling of 20012030022000 in words is "twenty trillion, twelve billion, thirty million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 228 240 250 285 300 304 375 380 400 456 475 500 570 600 750 760 912 950 1000 1140 1200 1425 1500 1520 1900 2000 2280 2375 2850 3000 3800 4560 4750 5700 6000 7125 7600 9500 11400 14250 19000 22800 28500 38000 57000 114000 175544123 351088246 526632369 702176492 877720615 1053264738 1404352984 1755441230 2106529476 2633161845 2808705968 3335338337 3510882460 4213058952 4388603075 5266323690 6670676674 7021764920 8426117904 8777206150 10006015011 10532647380 13165809225 13341353348 14043529840 16676691685 17554412300 20012030022 21065294760 21943015375 26331618450 26682706696 33353383370 35108824600 40024060044 42130589520 43886030750 50030075055 52663236900 53365413392 65829046125 66706766740 70217649200 80048120088 83383458425 87772061500 100060150110 105326473800 131658092250 133413533480 160096240176 166766916850 175544123000 200120300220 210652947600 250150375275 263316184500 266827066960 333533833700 351088246000 400240600440 416917292125 500300750550 526632369000 667067667400 800481200880 833834584250 1000601501100 1053264738000 1250751876375 1334135334800 1667669168500 2001203002200 2501503752750 3335338337000 4002406004400 5003007505500 6670676674000 10006015011000 20012030022000