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21112022120 = 2357475330269
BaseRepresentation
bin10011101010010111…
…111110010001101000
32000111022222211211012
4103222113332101220
5321214134201440
613410531523052
71345114140620
oct235227762150
960438884735
1021112022120
118a54205772
124112459488
131cb5ba76a7
141043c73880
158386c8e65
hex4ea5fe468

21112022120 has 128 divisors (see below), whose sum is σ = 56491084800. Its totient is φ = 6950501376.

The previous prime is 21112022111. The next prime is 21112022123. The reversal of 21112022120 is 2122021112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21112022095 and 21112022104.

It is not an unprimeable number, because it can be changed into a prime (21112022123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682346 + ... + 712614.

It is an arithmetic number, because the mean of its divisors is an integer number (441336600).

Almost surely, 221112022120 is an apocalyptic number.

21112022120 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 21112022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28245542400).

21112022120 is an abundant number, since it is smaller than the sum of its proper divisors (35379062680).

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

21112022120 is a wasteful number, since it uses less digits than its factorization.

21112022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30387 (or 30383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21112022120 its reverse (2122021112), we get a palindrome (23234043232).

The spelling of 21112022120 in words is "twenty-one billion, one hundred twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 53 56 70 94 106 140 188 212 235 265 280 329 371 376 424 470 530 658 742 940 1060 1316 1484 1645 1855 1880 2120 2491 2632 2968 3290 3710 4982 6580 7420 9964 12455 13160 14840 17437 19928 24910 30269 34874 49820 60538 69748 87185 99640 121076 139496 151345 174370 211883 242152 302690 348740 423766 605380 697480 847532 1059415 1210760 1422643 1604257 1695064 2118830 2845286 3208514 4237660 5690572 6417028 7113215 8021285 8475320 9958501 11229799 11381144 12834056 14226430 16042570 19917002 22459598 28452860 32085140 39834004 44919196 49792505 56148995 56905720 64170280 75400079 79668008 89838392 99585010 112297990 150800158 199170020 224595980 301600316 377000395 398340040 449191960 527800553 603200632 754000790 1055601106 1508001580 2111202212 2639002765 3016003160 4222404424 5278005530 10556011060 21112022120