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20000201012200 = 23521014051244411
BaseRepresentation
bin1001000110000101010001…
…11000000111001111101000
32121211000000101200222120001
410203002220320013033220
510110140402424342300
6110311544314312344
74132652424423163
oct443025070071750
977730011628501
1020000201012200
116411046081522
1222b020aa286b4
13b2101ab33976
144d202cc24ada
1524a3b784016a
hex1230a8e073e8

20000201012200 has 96 divisors (see below), whose sum is σ = 46972652620320. Its totient is φ = 7918884000000.

The previous prime is 20000201012189. The next prime is 20000201012227. The reversal of 20000201012200 is 221010200002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81707995 + ... + 81952405.

It is an arithmetic number, because the mean of its divisors is an integer number (489298464795).

Almost surely, 220000201012200 is an apocalyptic number.

20000201012200 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 20000201012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23486326310160).

20000201012200 is an abundant number, since it is smaller than the sum of its proper divisors (26972451608120).

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

20000201012200 is a wasteful number, since it uses less digits than its factorization.

20000201012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248579 (or 248570 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20000201012200 its reverse (221010200002), we get a palindrome (20221211212202).

The spelling of 20000201012200 in words is "twenty trillion, two hundred one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 4051 5050 8102 10100 16204 20200 20255 32408 40510 81020 101275 162040 202550 244411 405100 409151 488822 810200 818302 977644 1222055 1636604 1955288 2045755 2444110 3273208 4091510 4888220 6110275 8183020 9776440 10228775 12220550 16366040 20457550 24441100 24685511 40915100 48882200 49371022 81830200 98742044 123427555 197484088 246855110 493710220 617137775 987420440 990108961 1234275550 1980217922 2468551100 3960435844 4937102200 4950544805 7920871688 9901089610 19802179220 24752724025 39604358440 49505448050 99010896100 100001005061 198021792200 200002010122 400004020244 500005025305 800008040488 1000010050610 2000020101220 2500025126525 4000040202440 5000050253050 10000100506100 20000201012200