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21110012220 = 223511102131327
BaseRepresentation
bin10011101010010000…
…010011100100111100
32000111012012201202110
4103222100103210330
5321213130342340
613410420454020
71345061100063
oct235220234474
960435181673
1021110012220
118a530626a0
12411184a310
131cb56528bb
1410438ad1da
1583842d680
hex4ea41393c

21110012220 has 96 divisors (see below), whose sum is σ = 64546707456. Its totient is φ = 5112403200.

The previous prime is 21110012197. The next prime is 21110012239. The reversal of 21110012220 is 2221001112.

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 = 21110012196 and 21110012205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658197 + ... + 689523.

It is an arithmetic number, because the mean of its divisors is an integer number (672361536).

Almost surely, 221110012220 is an apocalyptic number.

21110012220 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 21110012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32273353728).

21110012220 is an abundant number, since it is smaller than the sum of its proper divisors (43436695236).

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

21110012220 is a wasteful number, since it uses less digits than its factorization.

21110012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32371 (or 32369 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21110012220 its reverse (2221001112), we get a palindrome (23331013332).

The spelling of 21110012220 in words is "twenty-one billion, one hundred ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1021 2042 3063 4084 5105 6126 10210 11231 12252 15315 20420 22462 30630 31327 33693 44924 56155 61260 62654 67386 93981 112310 125308 134772 156635 168465 187962 224620 313270 336930 344597 375924 469905 626540 673860 689194 939810 1033791 1378388 1722985 1879620 2067582 3445970 4135164 5168955 6891940 10337910 20675820 31984867 63969734 95954601 127939468 159924335 191909202 319848670 351833537 383818404 479773005 639697340 703667074 959546010 1055500611 1407334148 1759167685 1919092020 2111001222 3518335370 4222002444 5277503055 7036670740 10555006110 21110012220