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20021200000 = 275550053
BaseRepresentation
bin10010101001010110…
…110100010010000000
31220200022102100011221
4102221112310102000
5312000411400000
613110403444424
71306100251324
oct225126642200
956608370157
1020021200000
11854449998a
123a69086714
131b70bbb309
14d7d043984
157c2a5761a
hex4a95b4480

20021200000 has 96 divisors (see below), whose sum is σ = 49855285620. Its totient is φ = 8008320000.

The previous prime is 20021199977. The next prime is 20021200021. The reversal of 20021200000 is 212002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 36288576 + 19984911424 = 6024^2 + 141368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374974 + ... + 425026.

Almost surely, 220021200000 is an apocalyptic number.

20021200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24927642810).

20021200000 is an abundant number, since it is smaller than the sum of its proper divisors (29834085620).

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

20021200000 is an frugal number, since it uses more digits than its factorization.

20021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50092 (or 50060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20021200000 its reverse (212002), we get a palindrome (20021412002).

The spelling of 20021200000 in words is "twenty billion, twenty-one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 50053 80000 100000 100106 200000 200212 250265 400000 400424 500530 800848 1001060 1251325 1601696 2002120 2502650 3203392 4004240 5005300 6256625 6406784 8008480 10010600 12513250 16016960 20021200 25026500 31283125 32033920 40042400 50053000 62566250 80084800 100106000 125132500 156415625 160169600 200212000 250265000 312831250 400424000 500530000 625662500 800848000 1001060000 1251325000 2002120000 2502650000 4004240000 5005300000 10010600000 20021200000