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11211000 = 2335337101
BaseRepresentation
bin101010110001…
…000011111000
3210002120121020
4222301003320
510332223000
61040142440
7164202063
oct52610370
923076536
1011211000
116367a99
123907a20
132426b38
1416bb8da
15eb6ba0
hexab10f8

11211000 has 128 divisors (see below), whose sum is σ = 36279360. Its totient is φ = 2880000.

The previous prime is 11210993. The next prime is 11211029. The reversal of 11211000 is 11211.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11211000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 110950 + ... + 111050.

Almost surely, 211211000 is an apocalyptic number.

11211000 is a gapful number since it is divisible by the number (10) 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 11211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680).

11211000 is an abundant number, since it is smaller than the sum of its proper divisors (25068360).

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

11211000 is a wasteful number, since it uses less digits than its factorization.

11211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 11211000 is about 3348.2831421491. The cubic root of 11211000 is about 223.8110119398.

Adding to 11211000 its reverse (11211), we get a palindrome (11222211).

11211000 divided by its reverse (11211) gives a cube (1000 = 103).

The spelling of 11211000 in words is "eleven million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 101 111 120 125 148 150 185 200 202 222 250 296 300 303 370 375 404 444 500 505 555 600 606 740 750 808 888 925 1000 1010 1110 1212 1480 1500 1515 1850 2020 2220 2424 2525 2775 3000 3030 3700 3737 4040 4440 4625 5050 5550 6060 7400 7474 7575 9250 10100 11100 11211 12120 12625 13875 14948 15150 18500 18685 20200 22200 22422 25250 27750 29896 30300 37000 37370 37875 44844 50500 55500 56055 60600 74740 75750 89688 93425 101000 111000 112110 149480 151500 186850 224220 280275 303000 373700 448440 467125 560550 747400 934250 1121100 1401375 1868500 2242200 2802750 3737000 5605500 11211000