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21000012221020 = 2257247614374219
BaseRepresentation
bin1001100011001011100100…
…10001001100101001011100
32202100120200221212211020011
410301211302101030221130
510223031011112033040
6112355134502333004
74265125610450500
oct461456221145134
982316627784204
1021000012221020
11676706747a848
122431b3972a164
13b943a5c6b041
14528598166300
152663d27133ea
hex13197244ca5c

21000012221020 has 144 divisors (see below), whose sum is σ = 52400754524160. Its totient is φ = 7045570551936.

The previous prime is 21000012221017. The next prime is 21000012221039. The reversal of 21000012221020 is 2012221000012.

It is a happy number.

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, 282909471 + ... + 282983689.

It is an arithmetic number, because the mean of its divisors is an integer number (363894128640).

Almost surely, 221000012221020 is an apocalyptic number.

21000012221020 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 21000012221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26200377262080).

21000012221020 is an abundant number, since it is smaller than the sum of its proper divisors (31400742303140).

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

21000012221020 is a wasteful number, since it uses less digits than its factorization.

21000012221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80432 (or 80423 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21000012221020 its reverse (2012221000012), we get a palindrome (23012233221032).

The spelling of 21000012221020 in words is "twenty-one trillion, twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 470 490 658 940 980 1316 1645 2303 3290 4606 6143 6580 9212 11515 12286 23030 24572 30715 43001 46060 61430 74219 86002 122860 148438 172004 215005 288721 296876 301007 371095 430010 519533 577442 602014 742190 860020 1039066 1154884 1204028 1443605 1484380 1505035 2021047 2078132 2597665 2887210 3010070 3488293 3636731 4042094 5195330 5774420 6020140 6976586 7273462 8084188 10105235 10390660 13953172 14147329 14546924 17441465 18183655 20210470 24418051 28294658 34882930 36367310 40420940 48836102 56589316 69765860 70736645 72734620 97672204 122090255 141473290 170926357 244180510 282946580 341852714 455927317 488361020 683705428 854631785 911854634 1709263570 1823709268 2279636585 3191491219 3418527140 4559273170 6382982438 9118546340 12765964876 15957456095 21428583899 22340438533 31914912190 42857167798 44680877066 63829824380 85714335596 89361754132 107142919495 111702192665 150000087293 214285838990 223404385330 300000174586 428571677980 446808770660 600000349172 750000436465 1050000611051 1500000872930 2100001222102 3000001745860 4200002444204 5250003055255 10500006110510 21000012221020