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21321001020 = 223511210129077
BaseRepresentation
bin10011110110110101…
…001010100000111100
32001000220020001222110
4103312311022200330
5322131134013040
613443355014020
71353232342554
oct236665124074
961026201873
1021321001020
119051170700
12417043a310
13201a286847
141063912164
1584bc08980
hex4f6d4a83c

21321001020 has 144 divisors (see below), whose sum is σ = 66271320864. Its totient is φ = 5117376000.

The previous prime is 21321001003. The next prime is 21321001021. The reversal of 21321001020 is 2010012312.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21321000987 and 21321001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321001021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718722 + ... + 747798.

It is an arithmetic number, because the mean of its divisors is an integer number (460217506).

Almost surely, 221321001020 is an apocalyptic number.

21321001020 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 21321001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33135660432).

21321001020 is an abundant number, since it is smaller than the sum of its proper divisors (44950319844).

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

21321001020 is a wasteful number, since it uses less digits than its factorization.

21321001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29212 (or 29199 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21321001020 its reverse (2010012312), we get a palindrome (23331013332).

The spelling of 21321001020 in words is "twenty-one billion, three hundred twenty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 121 132 165 202 220 242 303 330 363 404 484 505 605 606 660 726 1010 1111 1210 1212 1452 1515 1815 2020 2222 2420 3030 3333 3630 4444 5555 6060 6666 7260 11110 12221 13332 16665 22220 24442 29077 33330 36663 48884 58154 61105 66660 73326 87231 116308 122210 145385 146652 174462 183315 244420 290770 319847 348924 366630 436155 581540 639694 733260 872310 959541 1279388 1599235 1744620 1919082 2936777 3198470 3518317 3838164 4797705 5873554 6396940 7036634 8810331 9595410 10554951 11747108 14073268 14683885 17591585 17620662 19190820 21109902 29367770 32304547 35183170 35241324 42219804 44051655 52774755 58735540 64609094 70366340 88103310 96913641 105549510 129218188 161522735 176206620 193827282 211099020 323045470 355350017 387654564 484568205 646090940 710700034 969136410 1066050051 1421400068 1776750085 1938272820 2132100102 3553500170 4264200204 5330250255 7107000340 10660500510 21321001020