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200212220212002 = 23211122901122889
BaseRepresentation
bin101101100001011110001010…
…010000111111001100100010
3222020220002201212101211111100
4231201132022100333030202
5202220234111333241002
61545452120233055230
760112566313333665
oct5541361220771442
9866802655354440
10200212220212002
1158880586873709
121a556577557516
138793c1525591b
143762474a876dc
151822ea528211c
hexb6178a43f322

200212220212002 has 12 divisors (see below), whose sum is σ = 433793143792710. Its totient is φ = 66737406737328.

The previous prime is 200212220211989. The next prime is 200212220212033. The reversal of 200212220212002 is 200212022212002.

200212220212002 is a `hidden beast` number, since 20 + 0 + 212 + 220 + 212 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119092674135681 + 81119546076321 = 10912959^2 + 9006639^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11122901122889 = 200212220212002 / (2 + 0 + 0 + 2 + 1 + 2 + 2 + 2 + 0 + 2 + 1 + 2 + 0 + 0 + 2).

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 5 ways as a sum of consecutive naturals, for example, 5561450561427 + ... + 5561450561462.

Almost surely, 2200212220212002 is an apocalyptic number.

200212220212002 is an abundant number, since it is smaller than the sum of its proper divisors (233580923580708).

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

200212220212002 is a wasteful number, since it uses less digits than its factorization.

200212220212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122901122897 (or 11122901122894 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200212220212002 its reverse (200212022212002), we get a palindrome (400424242424004).

The spelling of 200212220212002 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 11122901122889 22245802245778 33368703368667 66737406737334 100106110106001 200212220212002