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200210202122000 = 2453714300728723
BaseRepresentation
bin101101100001011100010001…
…111110100101011100010000
3222020212220112020000020110012
4231201130101332211130100
5202220220443220401000
61545451144102254052
760112465310006450
oct5541342176453420
9866786466006405
10200210202122000
115887a7406a0834
121a5560b3727328
138793983116625
143762322a3dd60
151822dd7ee9735
hexb61711fa5710

200210202122000 has 80 divisors (see below), whose sum is σ = 553266592874112. Its totient is φ = 68643497865600.

The previous prime is 200210202121987. The next prime is 200210202122023. The reversal of 200210202122000 is 221202012002.

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 (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7150350362 + ... + 7150378361.

Almost surely, 2200210202122000 is an apocalyptic number.

200210202122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210202122000 is an abundant number, since it is smaller than the sum of its proper divisors (353056390752112).

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

200210202122000 is a wasteful number, since it uses less digits than its factorization.

200210202122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14300728753 (or 14300728737 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200210202122000 its reverse (221202012002), we get a palindrome (200431404134002).

The spelling of 200210202122000 in words is "two hundred trillion, two hundred ten billion, two hundred two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 14300728723 28601457446 57202914892 71503643615 100105101061 114405829784 143007287230 200210202122 228811659568 286014574460 357518218075 400420404244 500525505305 572029148920 715036436150 800840808488 1001051010610 1144058297840 1430072872300 1601681616976 1787591090375 2002102021220 2502627526525 2860145744600 3575182180750 4004204042440 5005255053050 5720291489200 7150364361500 8008408084880 10010510106100 12513137632625 14300728723000 20021020212200 25026275265250 28601457446000 40042040424400 50052550530500 100105101061000 200210202122000