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202022122000 = 2453711422691
BaseRepresentation
bin1011110000100101110…
…1001111001000010000
3201022110021021010101211
42330021131033020100
511302220130401000
6232450243105504
720411203463266
oct2741135171020
9638407233354
10202022122000
117874a248406
12331a0972294
131608724077a
149ac6898436
1553c5c567ba
hex2f0974f210

202022122000 has 80 divisors (see below), whose sum is σ = 495369972864. Its totient is φ = 79670640000.

The previous prime is 202022121991. The next prime is 202022122007. The reversal of 202022122000 is 221220202.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (202022122007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 569346 + ... + 853345.

Almost surely, 2202022122000 is an apocalyptic number.

202022122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202022122000 is an abundant number, since it is smaller than the sum of its proper divisors (293347850864).

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

202022122000 is a wasteful number, since it uses less digits than its factorization.

202022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422785 (or 1422769 counting only the distinct ones).

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

Adding to 202022122000 its reverse (221220202), we get a palindrome (202243342202).

The spelling of 202022122000 in words is "two hundred two billion, twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1136 1420 1775 2000 2840 3550 5680 7100 8875 14200 17750 28400 35500 71000 142000 1422691 2845382 5690764 7113455 11381528 14226910 22763056 28453820 35567275 56907640 71134550 101011061 113815280 142269100 177836375 202022122 284538200 355672750 404044244 505055305 569076400 711345500 808088488 1010110610 1422691000 1616176976 2020221220 2525276525 2845382000 4040442440 5050553050 8080884880 10101106100 12626382625 20202212200 25252765250 40404424400 50505530500 101011061000 202022122000