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11233132000 = 25534396397
BaseRepresentation
bin10100111011000101…
…11111110111100000
31001222212010020012221
422131202333313200
5141001140211000
65054353000424
7545240021656
oct123542776740
931885106187
1011233132000
1148448a0372
122215b53114
1310a031238c
14787c38dd6
1545b29061a
hex29d8bfde0

11233132000 has 96 divisors (see below), whose sum is σ = 27666999360. Its totient is φ = 4482316800.

The previous prime is 11233131997. The next prime is 11233132019. The reversal of 11233132000 is 23133211.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1752802 + ... + 1759198.

It is an arithmetic number, because the mean of its divisors is an integer number (288197910).

Almost surely, 211233132000 is an apocalyptic number.

11233132000 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 11233132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13833499680).

11233132000 is an abundant number, since it is smaller than the sum of its proper divisors (16433867360).

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

11233132000 is an equidigital number, since it uses as much as digits as its factorization.

11233132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6861 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11233132000 its reverse (23133211), we get a palindrome (11256265211).

The spelling of 11233132000 in words is "eleven billion, two hundred thirty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 439 500 800 878 1000 1756 2000 2195 3512 4000 4390 6397 7024 8780 10975 12794 14048 17560 21950 25588 31985 35120 43900 51176 54875 63970 70240 87800 102352 109750 127940 159925 175600 204704 219500 255880 319850 351200 439000 511760 639700 799625 878000 1023520 1279400 1599250 1756000 2558800 2808283 3198500 5117600 5616566 6397000 11233132 12794000 14041415 22466264 25588000 28082830 44932528 56165660 70207075 89865056 112331320 140414150 224662640 280828300 351035375 449325280 561656600 702070750 1123313200 1404141500 2246626400 2808283000 5616566000 11233132000