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21221341263232 = 2711531621175433
BaseRepresentation
bin1001101001100111110101…
…00000011111010110000000
32210010201222202112010010221
410310303322200133112000
510240142301330410412
6113044541040032424
74320122422331155
oct464637240372600
983121882463127
1021221341263232
116841a139a4060
122468a08302714
13bac2190cab46
14535192c5022c
1526c03842db07
hex134cfa81f580

21221341263232 has 128 divisors (see below), whose sum is σ = 47019694367520. Its totient is φ = 9458170675200.

The previous prime is 21221341263217. The next prime is 21221341263251. The reversal of 21221341263232 is 23236214312212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120877788 + ... + 121053220.

Almost surely, 221221341263232 is an apocalyptic number.

21221341263232 is a gapful number since it is divisible by the number (22) 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 21221341263232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23509847183760).

21221341263232 is an abundant number, since it is smaller than the sum of its proper divisors (25798353104288).

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

21221341263232 is a wasteful number, since it uses less digits than its factorization.

21221341263232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177132 (or 177120 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

Adding to 21221341263232 its reverse (23236214312212), we get a palindrome (44457555575444).

The spelling of 21221341263232 in words is "twenty-one trillion, two hundred twenty-one billion, three hundred forty-one million, two hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 352 424 583 704 848 1166 1408 1621 1696 2332 3242 3392 4664 6484 6784 9328 12968 17831 18656 25936 35662 37312 51872 71324 74624 85913 103744 142648 171826 175433 207488 285296 343652 350866 570592 687304 701732 945043 1141184 1374608 1403464 1890086 1929763 2282368 2749216 2806928 3780172 3859526 5498432 5613856 7560344 7719052 9297949 10996864 11227712 15120688 15438104 18595898 22455424 30241376 30876208 37191796 60482752 61752416 74383592 102277439 120965504 123504832 148767184 204554878 247009664 284376893 297534368 409109756 568753786 595068736 818219512 1137507572 1190137472 1636439024 2275015144 3128145823 3272878048 4550030288 6256291646 6545756096 9100060576 12512583292 13091512192 15071975329 18200121152 25025166584 30143950658 36400242304 50050333168 60287901316 100100666336 120575802632 165791728619 200201332672 241151605264 331583457238 400402665344 482303210528 663166914476 964606421056 1326333828952 1929212842112 2652667657904 5305335315808 10610670631616 21221341263232