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201022121010220 = 225175331601353011
BaseRepresentation
bin101101101101010000011100…
…000111010110010000101100
3222100202112020020122020100021
4231231100130013112100230
5202322021300434311340
61551312142034011524
760225240361461646
oct5555203407262054
9870675206566307
10201022121010220
1159063003746674
121a667525716ba4
1388223c6498383
14378d745d0b896
1518390a7888e4a
hexb6d41c1d642c

201022121010220 has 96 divisors (see below), whose sum is σ = 455427858384576. Its totient is φ = 74248452096000.

The previous prime is 201022121010209. The next prime is 201022121010233. The reversal of 201022121010220 is 22010121220102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201022121010194 and 201022121010203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569273515 + ... + 569626525.

It is an arithmetic number, because the mean of its divisors is an integer number (4744040191506).

Almost surely, 2201022121010220 is an apocalyptic number.

201022121010220 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 201022121010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227713929192288).

201022121010220 is an abundant number, since it is smaller than the sum of its proper divisors (254405737374356).

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

201022121010220 is a wasteful number, since it uses less digits than its factorization.

201022121010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384691 (or 384689 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201022121010220 its reverse (22010121220102), we get a palindrome (223032242230322).

The spelling of 201022121010220 in words is "two hundred one trillion, twenty-two billion, one hundred twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 18020 31601 63202 126404 158005 316010 353011 537217 632020 706022 1074434 1412044 1674853 1765055 2148868 2686085 3349706 3530110 5372170 6001187 6699412 7060220 8374265 10744340 12002374 16748530 18709583 24004748 28472501 30005935 33497060 37419166 56945002 60011870 74838332 93547915 113890004 120023740 142362505 187095830 284725010 318062911 374191660 569450020 636125822 1272251644 1590314555 3180629110 6361258220 11155500611 22311001222 44622002444 55777503055 111555006110 189643510387 223110012220 379287020774 591241532383 758574041548 948217551935 1182483064766 1896435103870 2364966129532 2956207661915 3792870207740 5912415323830 10051106050511 11824830647660 20102212101022 40204424202044 50255530252555 100511060505110 201022121010220