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21221222101020 = 22325196159601021
BaseRepresentation
bin1001101001100111100110…
…11001111011000000011100
32210010201200110022001022200
410310303303121323000130
510240142030324213040
6113044521142011500
74320116444426364
oct464636331730034
983121613261280
1021221222101020
116841962704797
122468994416b90
13bac1ca508366
145351810b19a4
1526c02cc41630
hex134cf367b01c

21221222101020 has 72 divisors (see below), whose sum is σ = 64371475633920. Its totient is φ = 5658954295680.

The previous prime is 21221222101019. The next prime is 21221222101039. The reversal of 21221222101020 is 2010122212212.

It is a happy number.

21221222101020 is a `hidden beast` number, since 212 + 212 + 2 + 210 + 10 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21221222100984 and 21221222101002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35008110 + ... + 35609130.

Almost surely, 221221222101020 is an apocalyptic number.

21221222101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221222101020 is an abundant number, since it is smaller than the sum of its proper divisors (43150253532900).

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

21221222101020 is a wasteful number, since it uses less digits than its factorization.

21221222101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797195 (or 797190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21221222101020 its reverse (2010122212212), we get a palindrome (23231344313232).

The spelling of 21221222101020 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 196159 392318 588477 601021 784636 980795 1176954 1202042 1765431 1803063 1961590 2353908 2404084 2942385 3005105 3530862 3606126 3923180 5409189 5884770 6010210 7061724 7212252 8827155 9015315 10818378 11769540 12020420 17654310 18030630 21636756 27045945 35308620 36061260 54091890 108183780 117895678339 235791356678 353687035017 471582713356 589478391695 707374070034 1061061105051 1178956783390 1414748140068 1768435175085 2122122210102 2357913566780 3536870350170 4244244420204 5305305525255 7073740700340 10610611050510 21221222101020