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21221101220220 = 22335112324779633
BaseRepresentation
bin1001101001100111011000…
…01100110011000101111100
32210010201101000211200001000
410310303230030303011330
510240141303403021340
6113044501143050300
74320113446106256
oct464635414630574
983121330750030
1021221101220220
116841900451200
12246895ba40990
13bac1ab463565
1453516d006cd6
1526c022314d30
hex134cec33317c

21221101220220 has 144 divisors (see below), whose sum is σ = 72568761420960. Its totient is φ = 5144509370880.

The previous prime is 21221101220191. The next prime is 21221101220233. The reversal of 21221101220220 is 2202210112212.

It is a happy number.

21221101220220 is a `hidden beast` number, since 2 + 1 + 221 + 1 + 0 + 1 + 220 + 220 = 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 = 21221101220193 and 21221101220202.

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 47 ways as a sum of consecutive naturals, for example, 162324477 + ... + 162455156.

It is an arithmetic number, because the mean of its divisors is an integer number (503949732090).

Almost surely, 221221101220220 is an apocalyptic number.

21221101220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221101220220 is an abundant number, since it is smaller than the sum of its proper divisors (51347660200740).

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

21221101220220 is a wasteful number, since it uses less digits than its factorization.

21221101220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324779673 (or 324779654 counting only the distinct ones).

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

Adding to 21221101220220 its reverse (2202210112212), we get a palindrome (23423311332432).

The spelling of 21221101220220 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10890 13068 16335 21780 32670 65340 324779633 649559266 974338899 1299118532 1623898165 1948677798 2923016697 3247796330 3572575963 3897355596 4871694495 5846033394 6495592660 7145151926 8769050091 9743388990 10717727889 11692066788 14290303852 14615083485 17538100182 17862879815 19486777980 21435455778 29230166970 32153183667 35076200364 35725759630 39298335593 42870911556 43845250455 53588639445 58460333940 64306367334 71451519260 78596671186 87690500910 96459551001 107177278890 117895006779 128612734668 157193342372 160765918335 175381001820 192919102002 196491677965 214354557780 235790013558 321531836670 353685020337 385838204004 392983355930 471580027116 482297755005 589475033895 643063673340 707370040674 785966711860 964595510010 1061055061011 1178950067790 1414740081348 1768425101685 1929191020020 2122110122022 2357900135580 3536850203370 4244220244044 5305275305055 7073700406740 10610550610110 21221101220220