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20000213333000 = 235319255402253
BaseRepresentation
bin1001000110000101010011…
…00111000111010000001000
32121211000001020212221111222
410203002221213013100020
510110140414103124000
6110311545434341212
74132652634226655
oct443025147072010
977730036787458
1020000213333000
1164110520272aa
1222b0212b8a808
13b21020558994
144d2030710c2c
1524a3b8975a85
hex1230a99c7408

20000213333000 has 96 divisors (see below), whose sum is σ = 49393325531160. Its totient is φ = 7579028073600.

The previous prime is 20000213332993. The next prime is 20000213333021. The reversal of 20000213333000 is 33331200002.

It can be written as a sum of positive squares in 4 ways, for example, as 3555193212484 + 16445020120516 = 1885522^2 + 4055246^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20000213333000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27340127 + ... + 28062126.

Almost surely, 220000213333000 is an apocalyptic number.

20000213333000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000213333000 is an abundant number, since it is smaller than the sum of its proper divisors (29393112198160).

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

20000213333000 is a wasteful number, since it uses less digits than its factorization.

20000213333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55402312 (or 55402279 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 20000213333000 its reverse (33331200002), we get a palindrome (20033544533002).

The spelling of 20000213333000 in words is "twenty trillion, two hundred thirteen million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 361 380 475 500 722 760 950 1000 1444 1805 1900 2375 2888 3610 3800 4750 7220 9025 9500 14440 18050 19000 36100 45125 72200 90250 180500 361000 55402253 110804506 221609012 277011265 443218024 554022530 1052642807 1108045060 1385056325 2105285614 2216090120 2770112650 4210571228 5263214035 5540225300 6925281625 8421142456 10526428070 11080450600 13850563250 20000213333 21052856140 26316070175 27701126500 40000426666 42105712280 52632140350 55402253000 80000853332 100001066665 105264280700 131580350875 160001706664 200002133330 210528561400 263160701750 400004266660 500005333325 526321403500 800008533320 1000010666650 1052642807000 2000021333300 2500026666625 4000042666600 5000053333250 10000106666500 20000213333000