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200212102002002 = 21737735981364513
BaseRepresentation
bin101101100001011110000011…
…001110000011010101010010
3222020220002102121222010212012
4231201132003032003111102
5202220233341103031002
61545452100411302522
760112563346506266
oct5541360316032522
9866802377863765
10200212102002002
11588805260747a2
121a556543a4aa42
138793bc690768c
1437624630b60a6
151822e99bd1d52
hexb61783383552

200212102002002 has 64 divisors (see below), whose sum is σ = 331108018238304. Its totient is φ = 90399909150720.

The previous prime is 200212102001981. The next prime is 200212102002007. The reversal of 200212102002002 is 200200201212002.

It can be written as a sum of positive squares in 16 ways, for example, as 74365459378681 + 125846642623321 = 8623541^2 + 11218139^2 .

It is not an unprimeable number, because it can be changed into a prime (200212102002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549076898 + ... + 549441410.

Almost surely, 2200212102002002 is an apocalyptic number.

200212102002002 is a deficient number, since it is larger than the sum of its proper divisors (130895916236302).

200212102002002 is a wasteful number, since it uses less digits than its factorization.

200212102002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370623.

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

Adding to 200212102002002 its reverse (200200201212002), we get a palindrome (400412303214004).

The spelling of 200212102002002 in words is "two hundred trillion, two hundred twelve billion, one hundred two million, two thousand, two".

Divisors: 1 2 17 34 37 73 74 146 629 1241 1258 2482 2701 5402 5981 11962 45917 91834 101677 203354 221297 364513 436613 442594 729026 873226 3762049 6196721 7422421 7524098 12393442 13486981 14844842 16154681 26609449 26973962 32309362 53218898 229278677 274629577 452360633 458557354 549259154 904721266 984549613 1969099226 2180152253 4360304506 16737343421 33474686842 37062588301 74125176602 80665633361 159151114469 161331266722 318302228938 1371315767137 2705568945973 2742631534274 5411137891946 5888591235353 11777182470706 100106051001001 200212102002002