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200210222122000 = 2453313229197131
BaseRepresentation
bin101101100001011100010011…
…001010111000010000010000
3222020212220120121122100021221
4231201130103022320100100
5202220221013330401000
61545451150055054424
760112465642005466
oct5541342312702020
9866786517570257
10200210222122000
115887a750a11062
121a5560ba371414
1387939872c9a4c
143762325568836
151822dd9b4a61a
hexb617132b8410

200210222122000 has 80 divisors (see below), whose sum is σ = 499724714571264. Its totient is φ = 77500731120000.

The previous prime is 200210222121971. The next prime is 200210222122033. The reversal of 200210222122000 is 221222012002.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1614536566 + ... + 1614660565.

Almost surely, 2200210222122000 is an apocalyptic number.

200210222122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210222122000 is an abundant number, since it is smaller than the sum of its proper divisors (299514492449264).

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

200210222122000 is a wasteful number, since it uses less digits than its factorization.

200210222122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229197185 (or 3229197169 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200210222122000 its reverse (221222012002), we get a palindrome (200431444134002).

The spelling of 200210222122000 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 3229197131 6458394262 12916788524 16145985655 25833577048 32291971310 51667154096 64583942620 80729928275 100105111061 129167885240 161459856550 200210222122 258335770480 322919713100 400420444244 403649641375 500525555305 645839426200 800840888488 807299282750 1001051110610 1291678852400 1601681776976 1614598565500 2002102221220 2502627776525 3229197131000 4004204442440 5005255553050 6458394262000 8008408884880 10010511106100 12513138882625 20021022212200 25026277765250 40042044424400 50052555530500 100105111061000 200210222122000