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21000112 = 247971933
BaseRepresentation
bin101000000011…
…0111110110000
31110111220201221
41100012332300
520334000422
62030034424
7343332550
oct120067660
943456657
1021000112
1110943771
127048a14
134473703
142b09160
151c9c3c7
hex1406fb0

21000112 has 40 divisors (see below), whose sum is σ = 47003936. Its totient is φ = 8902656.

The previous prime is 21000103. The next prime is 21000121. The reversal of 21000112 is 21100012.

It is an interprime number because it is at equal distance from previous prime (21000103) and next prime (21000121).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 21000095 and 21000104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9898 + ... + 11830.

Almost surely, 221000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23501968).

21000112 is an abundant number, since it is smaller than the sum of its proper divisors (26003824).

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

21000112 is a wasteful number, since it uses less digits than its factorization.

21000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 21000112 is about 4582.5879151414. The cubic root of 21000112 is about 275.8929081126.

Adding to 21000112 its reverse (21100012), we get a palindrome (42100124).

It can be divided in two parts, 21000 and 112, that added together give a palindrome (21112).

The spelling of 21000112 in words is "twenty-one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 1933 2716 3866 5432 7732 10864 13531 15464 27062 30928 54124 108248 187501 216496 375002 750004 1312507 1500008 2625014 3000016 5250028 10500056 21000112