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20001201011200 = 29521562593829
BaseRepresentation
bin1001000110000111001000…
…11110110011101000000000
32121211002121002101012022001
410203003210132303220000
510110144424424324300
6110312231435553344
74133016256321153
oct443034436635000
977732532335261
1020001201011200
1164115095a4582
1222b04498bb854
13b2114a070556
144d20c5971c9a
1524a42552116a
hex1230e47b3a00

20001201011200 has 60 divisors (see below), whose sum is σ = 49554538130790. Its totient is φ = 8000480399360.

The previous prime is 20001201011191. The next prime is 20001201011213. The reversal of 20001201011200 is 211010210002.

It can be written as a sum of positive squares in 3 ways, for example, as 17085193963776 + 2916007047424 = 4133424^2 + 1707632^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 781284115 + ... + 781309714.

Almost surely, 220001201011200 is an apocalyptic number.

20001201011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001201011200 is an abundant number, since it is smaller than the sum of its proper divisors (29553337119590).

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

20001201011200 is an equidigital number, since it uses as much as digits as its factorization.

20001201011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562593857 (or 1562593836 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20001201011200 its reverse (211010210002), we get a palindrome (20212211221202).

The spelling of 20001201011200 in words is "twenty trillion, one billion, two hundred one million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 1562593829 3125187658 6250375316 7812969145 12500750632 15625938290 25001501264 31251876580 39064845725 50003002528 62503753160 78129691450 100006005056 125007506320 156259382900 200012010112 250015012640 312518765800 400024020224 500030025280 625037531600 800048040448 1000060050560 1250075063200 2000120101120 2500150126400 4000240202240 5000300252800 10000600505600 20001201011200