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20111120220020 = 225192272039114343
BaseRepresentation
bin1001001001010011111000…
…01011010011111101110100
32122012121022112202120000012
410210221330023103331310
510114000033234020040
6110434530542035352
74143660210221624
oct444517413237564
978177275676005
1020111120220020
116454095083015
122309805578b58
13b2b6168c0c0b
144d7552124884
1524d20a4aa865
hex124a7c2d3f74

20111120220020 has 96 divisors (see below), whose sum is σ = 44674292275200. Its totient is φ = 7583695645824.

The previous prime is 20111120219893. The next prime is 20111120220029. The reversal of 20111120220020 is 2002202111102.

It is a junction number, because it is equal to n+sod(n) for n = 20111120219977 and 20111120220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111120220029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175826969 + ... + 175941311.

It is an arithmetic number, because the mean of its divisors is an integer number (465357211200).

Almost surely, 220111120220020 is an apocalyptic number.

20111120220020 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 20111120220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22337146137600).

20111120220020 is an abundant number, since it is smaller than the sum of its proper divisors (24563172055180).

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

20111120220020 is a wasteful number, since it uses less digits than its factorization.

20111120220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116637 (or 116635 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20111120220020 its reverse (2002202111102), we get a palindrome (22113322331122).

The spelling of 20111120220020 in words is "twenty trillion, one hundred eleven billion, one hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 227 380 454 908 1135 2039 2270 4078 4313 4540 8156 8626 10195 17252 20390 21565 38741 40780 43130 77482 86260 114343 154964 193705 228686 387410 457372 462853 571715 774820 925706 1143430 1851412 2172517 2286860 2314265 4345034 4628530 8690068 8794207 9257060 10862585 17588414 21725170 25955861 35176828 43450340 43971035 51911722 87942070 103823444 129779305 175884140 233145377 259558610 466290754 493161359 519117220 932581508 986322718 1165726885 1972645436 2331453770 2465806795 4429762163 4662907540 4931613590 8859524326 9863227180 17719048652 22148810815 44297621630 52924000579 88595243260 105848001158 211696002316 264620002895 529240005790 1005556011001 1058480011580 2011112022002 4022224044004 5027780055005 10055560110010 20111120220020