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21221021221020 = 22325597159279119
BaseRepresentation
bin1001101001100111001110…
…11011101000000010011100
32210010201011110022021202200
410310303213123220002130
510240141122413033040
6113044445204251500
74320111455115405
oct464634733500234
983121143267680
1021221021221020
11684186a280665
1224689390a0b90
13bac197a0365a
145351625409ac
1526c01a2b1630
hex134ce76e809c

21221021221020 has 144 divisors (see below), whose sum is σ = 65470833792000. Its totient is φ = 5562227776896.

The previous prime is 21221021220967. The next prime is 21221021221033. The reversal of 21221021221020 is 2012212012212.

It is a happy number.

21221021221020 is a `hidden beast` number, since 2 + 1 + 221 + 0 + 212 + 210 + 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 = 21221021220984 and 21221021221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75889021 + ... + 76168139.

It is an arithmetic number, because the mean of its divisors is an integer number (454658568000).

Almost surely, 221221021221020 is an apocalyptic number.

21221021221020 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 21221021221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32735416896000).

21221021221020 is an abundant number, since it is smaller than the sum of its proper divisors (44249812570980).

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

21221021221020 is a wasteful number, since it uses less digits than its factorization.

21221021221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286352 (or 286347 counting only the distinct ones).

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

Adding to 21221021221020 its reverse (2012212012212), we get a palindrome (23233233233232).

The spelling of 21221021221020 in words is "twenty-one trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 7159 10620 14318 21477 28636 35795 42954 64431 71590 85908 107385 128862 143180 214770 257724 279119 322155 422381 429540 558238 644310 837357 844762 1116476 1267143 1288620 1395595 1674714 1689524 2111905 2512071 2534286 2791190 3349428 3801429 4186785 4223810 5024142 5068572 5582380 6335715 7602858 8373570 8447620 10048284 12560355 12671430 15205716 16468021 16747140 19007145 25120710 25342860 32936042 38014290 49404063 50241420 65872084 76028580 82340105 98808126 148212189 164680210 197616252 247020315 296424378 329360420 494040630 592848756 741060945 988081260 1482121890 1998212921 2964243780 3996425842 5994638763 7992851684 9991064605 11989277526 17983916289 19982129210 23978555052 29973193815 35967832578 39964258420 59946387630 71935665156 89919581445 117894562339 119892775260 179839162890 235789124678 353683687017 359678325780 471578249356 589472811695 707367374034 1061051061051 1178945623390 1414734748068 1768418435085 2122102122102 2357891246780 3536836870170 4244204244204 5305255305255 7073673740340 10610510610510 21221021221020