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202202000212000 = 2553133277379289
BaseRepresentation
bin101101111110011011010010…
…011001010100000000100000
3222111221022201001111220001211
4231332123102121110000200
5203000334144023241000
61554014152212035504
760406420030303465
oct5576332231240040
9874838631456054
10202202000212000
11594784287a71a8
121a818128902b94
1388a974a3620c9
1437d08b40a766c
151859b10de67ba
hexb7e6d2654020

202202000212000 has 96 divisors (see below), whose sum is σ = 496815352029360. Its totient is φ = 80879979980800.

The previous prime is 202202000211997. The next prime is 202202000212099. The reversal of 202202000212000 is 212000202202.

It can be written as a sum of positive squares in 8 ways, for example, as 5143406696464 + 197058593515536 = 2267908^2 + 14037756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532918356 + ... + 533297644.

Almost surely, 2202202000212000 is an apocalyptic number.

202202000212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202000212000 is an abundant number, since it is smaller than the sum of its proper divisors (294613351817360).

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

202202000212000 is a wasteful number, since it uses less digits than its factorization.

202202000212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512591 (or 512573 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202202000212000 its reverse (212000202202), we get a palindrome (202414000414202).

The spelling of 202202000212000 in words is "two hundred two trillion, two hundred two billion, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 133277 266554 379289 533108 666385 758578 1066216 1332770 1517156 1896445 2132432 2665540 3034312 3331925 3792890 4264864 5331080 6068624 6663850 7585780 9482225 10662160 12137248 13327700 15171560 16659625 18964450 21324320 26655400 30343120 33319250 37928900 47411125 53310800 60686240 66638500 75857800 94822250 106621600 133277000 151715600 189644500 266554000 303431200 379289000 533108000 758578000 1517156000 50550500053 101101000106 202202000212 252752500265 404404000424 505505000530 808808000848 1011010001060 1263762501325 1617616001696 2022020002120 2527525002650 4044040004240 5055050005300 6318812506625 8088080008480 10110100010600 12637625013250 20220200021200 25275250026500 40440400042400 50550500053000 101101000106000 202202000212000