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20011022000000 = 275610005511
BaseRepresentation
bin1001000110011001011011…
…10110111001111110000000
32121212000221112022010012222
410203030231312321332000
510110330033113000000
6110320534145510212
74133514531333443
oct443145566717600
977760845263188
1020011022000000
116415699261849
1222b232a942368
13b22053941c25
144d277801765a
1524a7ec81da85
hex12332ddb9f80

20011022000000 has 112 divisors (see below), whose sum is σ = 49831501992360. Its totient is φ = 8004408000000.

The previous prime is 20011021999973. The next prime is 20011022000141. The reversal of 20011022000000 is 22011002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3002756 + ... + 7002755.

Almost surely, 220011022000000 is an apocalyptic number.

20011022000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011022000000 is an abundant number, since it is smaller than the sum of its proper divisors (29820479992360).

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

20011022000000 is an frugal number, since it uses more digits than its factorization.

20011022000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005555 (or 10005518 counting only the distinct ones).

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

Adding to 20011022000000 its reverse (22011002), we get a palindrome (20011044011002).

The spelling of 20011022000000 in words is "twenty trillion, eleven billion, twenty-two million", and thus it is an aban number and an uban number.

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 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 10005511 20011022 40022044 50027555 80044088 100055110 160088176 200110220 250137775 320176352 400220440 500275550 640352704 800440880 1000551100 1250688875 1280705408 1600881760 2001102200 2501377750 3201763520 4002204400 5002755500 6253444375 6403527040 8004408800 10005511000 12506888750 16008817600 20011022000 25013777500 31267221875 32017635200 40022044000 50027555000 62534443750 80044088000 100055110000 125068887500 156336109375 160088176000 200110220000 250137775000 312672218750 400220440000 500275550000 625344437500 800440880000 1000551100000 1250688875000 2001102200000 2501377750000 4002204400000 5002755500000 10005511000000 20011022000000