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11231000 = 2353111021
BaseRepresentation
bin101010110101…
…111100011000
3210010121000222
4222311330120
510333343000
61040415212
7164314304
oct52657430
923117028
1011231000
116381020
123917508
132432c81
1416c4d04
15ebca85
hexab5f18

11231000 has 64 divisors (see below), whose sum is σ = 28697760. Its totient is φ = 4080000.

The previous prime is 11230939. The next prime is 11231027. The reversal of 11231000 is 13211.

11231000 = T32 + T33 + ... + T406.

It is a super-2 number, since 2×112310002 = 252270722000000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10490 + ... + 11510.

Almost surely, 211231000 is an apocalyptic number.

11231000 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 11231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348880).

11231000 is an abundant number, since it is smaller than the sum of its proper divisors (17466760).

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

11231000 is a wasteful number, since it uses less digits than its factorization.

11231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1039 counting only the distinct ones).

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

The square root of 11231000 is about 3351.2684165850. The cubic root of 11231000 is about 223.9440230025.

Adding to 11231000 its reverse (13211), we get a palindrome (11244211).

The spelling of 11231000 in words is "eleven million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1021 1100 1375 2042 2200 2750 4084 5105 5500 8168 10210 11000 11231 20420 22462 25525 40840 44924 51050 56155 89848 102100 112310 127625 204200 224620 255250 280775 449240 510500 561550 1021000 1123100 1403875 2246200 2807750 5615500 11231000