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201121220110020 = 223572662717984003
BaseRepresentation
bin101101101110101100101110…
…111000011010011011000100
3222101010000000122002002211220
4231232230232320122123010
5202330132224322010040
61551425451335400340
760235346216102160
oct5556545670323304
9871100018062756
10201121220110020
11590a1037595051
121a6827818230b0
13882b85a457772
143794467459ca0
15183b95796a2d0
hexb6eb2ee1a6c4

201121220110020 has 96 divisors (see below), whose sum is σ = 643612110640128. Its totient is φ = 45968835576192.

The previous prime is 201121220109893. The next prime is 201121220110061. The reversal of 201121220110020 is 20011022121102.

It is a super-2 number, since 2×2011212201100202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2191339 + ... + 20175341.

It is an arithmetic number, because the mean of its divisors is an integer number (6704292819168).

Almost surely, 2201121220110020 is an apocalyptic number.

201121220110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121220110020 is an abundant number, since it is smaller than the sum of its proper divisors (442490890530108).

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

201121220110020 is a wasteful number, since it uses less digits than its factorization.

201121220110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18010649 (or 18010647 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201121220110020 its reverse (20011022121102), we get a palindrome (221132242231122).

The spelling of 201121220110020 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 26627 53254 79881 106508 133135 159762 186389 266270 319524 372778 399405 532540 559167 745556 798810 931945 1118334 1597620 1863890 2236668 2795835 3727780 5591670 11183340 17984003 35968006 53952009 71936012 89920015 107904018 125888021 179840030 215808036 251776042 269760045 359680060 377664063 503552084 539520090 629440105 755328126 1079040180 1258880210 1510656252 1888320315 2517760420 3776640630 7553281260 478860047881 957720095762 1436580143643 1915440191524 2394300239405 2873160287286 3352020335167 4788600478810 5746320574572 6704040670334 7182900718215 9577200957620 10056061005501 13408081340668 14365801436430 16760101675835 20112122011002 28731602872860 33520203351670 40224244022004 50280305027505 67040406703340 100560610055010 201121220110020