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21311000 = 2353101211
BaseRepresentation
bin101000101001…
…0111000011000
31111002201012022
41101102320120
520423423000
62040434012
7346066124
oct121227030
944081168
1021311000
11110362a7
127178908
134552079
142b8a584
151d0e585
hex1452e18

21311000 has 64 divisors (see below), whose sum is σ = 50600160. Its totient is φ = 8400000.

The previous prime is 21310999. The next prime is 21311033. The reversal of 21311000 is 11312.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100895 + ... + 101105.

Almost surely, 221311000 is an apocalyptic number.

21311000 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 21311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25300080).

21311000 is an abundant number, since it is smaller than the sum of its proper divisors (29289160).

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

21311000 is a wasteful number, since it uses less digits than its factorization.

21311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 21311000 is about 4616.3838661879. The cubic root of 21311000 is about 277.2476942699.

Adding to 21311000 its reverse (11312), we get a palindrome (21322312).

The spelling of 21311000 in words is "twenty-one million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 211 250 404 422 500 505 808 844 1000 1010 1055 1688 2020 2110 2525 4040 4220 5050 5275 8440 10100 10550 12625 20200 21100 21311 25250 26375 42200 42622 50500 52750 85244 101000 105500 106555 170488 211000 213110 426220 532775 852440 1065550 2131100 2663875 4262200 5327750 10655500 21311000