Search a number
-
+
221020220200120 = 235111399359055527
BaseRepresentation
bin110010010000010001000111…
…101101101001010010111000
31001222120022211011101120201221
4302100101013231221102320
5212432143402332400440
62102023142031121424
764361120045061265
oct6220210755512270
91058508734346657
10221020220200120
1164473170354970
1220957248673274
13964316aa238b3
143c8161593026c
151a8439a901d4a
hexc90447b694b8

221020220200120 has 64 divisors (see below), whose sum is σ = 542891958336000. Its totient is φ = 80313540055680.

The previous prime is 221020220200093. The next prime is 221020220200123. The reversal of 221020220200120 is 21002022020122.

It is a junction number, because it is equal to n+sod(n) for n = 221020220200094 and 221020220200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020220200123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178912204 + ... + 180143323.

It is an arithmetic number, because the mean of its divisors is an integer number (8482686849000).

Almost surely, 2221020220200120 is an apocalyptic number.

221020220200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020220200120 is an abundant number, since it is smaller than the sum of its proper divisors (321871738135880).

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

221020220200120 is a wasteful number, since it uses less digits than its factorization.

221020220200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359056948 (or 359056944 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221020220200120 its reverse (21002022020122), we get a palindrome (242022242220242).

The spelling of 221020220200120 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1399 2798 5596 6995 11192 13990 15389 27980 30778 55960 61556 76945 123112 153890 307780 615560 359055527 718111054 1436222108 1795277635 2872444216 3590555270 3949610797 7181110540 7899221594 14362221080 15798443188 19748053985 31596886376 39496107970 78992215940 157984431880 502318682273 1004637364546 2009274729092 2511593411365 4018549458184 5023186822730 5525505505003 10046373645460 11051011010006 20092747290920 22102022020012 27627527525015 44204044040024 55255055050030 110510110100060 221020220200120