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21144100 = 2252211441
BaseRepresentation
bin101000010101…
…0001000100100
31110210020020211
41100222020210
520403102400
62033105204
7344502415
oct120521044
943706224
1021144100
1110a3196a
1270b8204
1344c4103
142b4580c
151cc9dba
hex142a224

21144100 has 18 divisors (see below), whose sum is σ = 45882914. Its totient is φ = 8457600.

The previous prime is 21144083. The next prime is 21144119. The reversal of 21144100 is 144112.

It can be written as a sum of positive squares in 3 ways, for example, as 131044 + 21013056 = 362^2 + 4584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105621 + ... + 105820.

Almost surely, 221144100 is an apocalyptic number.

21144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21144100 is an abundant number, since it is smaller than the sum of its proper divisors (24738814).

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

21144100 is a wasteful number, since it uses less digits than its factorization.

21144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211455 (or 211448 counting only the distinct ones).

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

The square root of 21144100 is about 4598.2714143469. The cubic root of 21144100 is about 276.5220288806.

Adding to 21144100 its reverse (144112), we get a palindrome (21288212).

The spelling of 21144100 in words is "twenty-one million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211441 422882 845764 1057205 2114410 4228820 5286025 10572050 21144100