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200212201330000 = 245420021220133
BaseRepresentation
bin101101100001011110001001…
…001000111101010101010000
3222020220002200112212112020221
4231201132021020331111100
5202220234042020030000
61545452114320242424
760112565664002266
oct5541361110752520
9866802615775227
10200212201330000
1158880577147352
121a556571170414
138793c11374342
143762472370436
151822ea37a261a
hexb6178923d550

200212201330000 has 50 divisors (see below), whose sum is σ = 484733760664274. Its totient is φ = 80084880528000.

The previous prime is 200212201329983. The next prime is 200212201330111. The reversal of 200212201330000 is 33102212002.

It can be written as a sum of positive squares in 5 ways, for example, as 85190094103104 + 115022107226896 = 9229848^2 + 10724836^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×2002122013300002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10010600067 + ... + 10010620066.

Almost surely, 2200212201330000 is an apocalyptic number.

200212201330000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212201330000 is an abundant number, since it is smaller than the sum of its proper divisors (284521559334274).

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

200212201330000 is an equidigital number, since it uses as much as digits as its factorization.

200212201330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20021220161 (or 20021220140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 200212201330000 its reverse (33102212002), we get a palindrome (200245303542002).

The spelling of 200212201330000 in words is "two hundred trillion, two hundred twelve billion, two hundred one million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 20021220133 40042440266 80084880532 100106100665 160169761064 200212201330 320339522128 400424402660 500530503325 800848805320 1001061006650 1601697610640 2002122013300 2502652516625 4004244026600 5005305033250 8008488053200 10010610066500 12513262583125 20021220133000 25026525166250 40042440266000 50053050332500 100106100665000 200212201330000