[go: up one dir, main page]

Search a number
-
+
21112300 = 225211171129
BaseRepresentation
bin101000010001…
…0010111101100
31110201121122001
41100202113230
520401043200
62032302044
7344310616
oct120422754
943647561
1021112300
1110a0aa90
1270a1924
1344b27b1
142b37db6
151cc076a
hex14225ec

21112300 has 72 divisors (see below), whose sum is σ = 52965360. Its totient is φ = 7219200.

The previous prime is 21112291. The next prime is 21112339. The reversal of 21112300 is 321112.

It is a super-2 number, since 2×211123002 = 891458422580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 23 ways as a sum of consecutive naturals, for example, 18136 + ... + 19264.

It is an arithmetic number, because the mean of its divisors is an integer number (735630).

Almost surely, 221112300 is an apocalyptic number.

21112300 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 21112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26482680).

21112300 is an abundant number, since it is smaller than the sum of its proper divisors (31853060).

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

21112300 is a wasteful number, since it uses less digits than its factorization.

21112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 21112300 is about 4594.8122921399. The cubic root of 21112300 is about 276.3833327821.

Adding to 21112300 its reverse (321112), we get a palindrome (21433412).

It can be divided in two parts, 21112 and 300, that added together give a palindrome (21412).

The spelling of 21112300 in words is "twenty-one million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1129 1700 1870 2258 3740 4516 4675 5645 9350 11290 12419 18700 19193 22580 24838 28225 38386 49676 56450 62095 76772 95965 112900 124190 191930 211123 248380 310475 383860 422246 479825 620950 844492 959650 1055615 1241900 1919300 2111230 4222460 5278075 10556150 21112300