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210011200000020 = 223251166728888889
BaseRepresentation
bin101111110000000100001010…
…111110011001000000010100
31000112120212121121122021002100
4233300010022332121000110
5210011310414200000040
62022353451405242100
762143544212262316
oct5760041276310024
91015525547567070
10210011200000020
1160a09282468131
121b6796b1b63330
139024c818c9043
1439c084c4057b6
151942d173cab30
hexbf010af99014

210011200000020 has 36 divisors (see below), whose sum is σ = 637033973333940. Its totient is φ = 56002986666624.

The previous prime is 210011200000003. The next prime is 210011200000033. The reversal of 210011200000020 is 20000002110012.

It can be written as a sum of positive squares in 2 ways, for example, as 86206545423504 + 123804654576516 = 9284748^2 + 11126754^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210011199999948 and 210011200000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583364444265 + ... + 583364444624.

It is an arithmetic number, because the mean of its divisors is an integer number (17695388148165).

Almost surely, 2210011200000020 is an apocalyptic number.

210011200000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210011200000020 is an abundant number, since it is smaller than the sum of its proper divisors (427022773333920).

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

210011200000020 is a wasteful number, since it uses less digits than its factorization.

210011200000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166728888904 (or 1166728888899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210011200000020 its reverse (20000002110012), we get a palindrome (230011202110032).

The spelling of 210011200000020 in words is "two hundred ten trillion, eleven billion, two hundred million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1166728888889 2333457777778 3500186666667 4666915555556 5833644444445 7000373333334 10500560000001 11667288888890 14000746666668 17500933333335 21001120000002 23334577777780 35001866666670 42002240000004 52502800000005 70003733333340 105005600000010 210011200000020