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11021000 = 2353103107
BaseRepresentation
bin101010000010…
…101011001000
3202201220222012
4222002223020
510310133000
61032115052
7162451124
oct52025310
922656865
1011021000
116248271
123835a88
13238b503
14166c584
15e7a735
hexa82ac8

11021000 has 64 divisors (see below), whose sum is σ = 26282880. Its totient is φ = 4324800.

The previous prime is 11020991. The next prime is 11021009. The reversal of 11021000 is 12011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11020991) and next prime (11021009).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (11021009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102947 + ... + 103053.

It is an arithmetic number, because the mean of its divisors is an integer number (410670).

Almost surely, 211021000 is an apocalyptic number.

11021000 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 11021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141440).

11021000 is an abundant number, since it is smaller than the sum of its proper divisors (15261880).

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

11021000 is a wasteful number, since it uses less digits than its factorization.

11021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 11021000 is about 3319.7891499311. The cubic root of 11021000 is about 222.5394450961.

Adding to 11021000 its reverse (12011), we get a palindrome (11033011).

The spelling of 11021000 in words is "eleven million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 107 125 200 206 214 250 412 428 500 515 535 824 856 1000 1030 1070 2060 2140 2575 2675 4120 4280 5150 5350 10300 10700 11021 12875 13375 20600 21400 22042 25750 26750 44084 51500 53500 55105 88168 103000 107000 110210 220420 275525 440840 551050 1102100 1377625 2204200 2755250 5510500 11021000