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200212343212002 = 231121585917389153
BaseRepresentation
bin101101100001011110010001…
…100110001100011111100010
3222020220010001102211212202220
4231201132101212030133202
5202220234334330241002
61545452140345251510
760112602335661402
oct5541362146143742
9866803042755686
10200212343212002
115888063a244400
121a5565b0793b96
138793c348901a4
143762487144802
151822eb0e7b7bc
hexb6179198c7e2

200212343212002 has 48 divisors (see below), whose sum is σ = 440164003974240. Its totient is φ = 60666577931520.

The previous prime is 200212343211973. The next prime is 200212343212073.

200212343212002 is nontrivially palindromic in base 10.

200212343212002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2819058 + ... + 20208210.

It is an arithmetic number, because the mean of its divisors is an integer number (9170083416130).

Almost surely, 2200212343212002 is an apocalyptic number.

200212343212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200212343212002 is an abundant number, since it is smaller than the sum of its proper divisors (239951660762238).

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

200212343212002 is a wasteful number, since it uses less digits than its factorization.

200212343212002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17405039 (or 17405028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 200212343212002 in words is "two hundred trillion, two hundred twelve billion, three hundred forty-three million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 15859 31718 47577 95154 174449 348898 523347 1046694 1918939 3837878 5756817 11513634 17389153 34778306 52167459 104334918 191280683 382561366 573842049 1147684098 2104087513 4208175026 6312262539 12624525078 275774577427 551549154854 827323732281 1654647464562 3033520351697 6067040703394 9100561055091 18201122110182 33368723868667 66737447737334 100106171606001 200212343212002