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11031331000 = 235370915559
BaseRepresentation
bin10100100011000010…
…01100000010111000
31001110210101200021211
422101201030002320
5140043010043000
65022343412504
7540236523604
oct122141140270
931423350254
1011031331000
114750998288
12217a454134
13106a5773c1
14769108504
154486cc7ba
hex29184c0b8

11031331000 has 64 divisors (see below), whose sum is σ = 25851384000. Its totient is φ = 4406025600.

The previous prime is 11031330941. The next prime is 11031331007. The reversal of 11031331000 is 13313011.

It is a happy number.

It is a super-2 number, since 2×110313310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031331007) 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, 701221 + ... + 716779.

It is an arithmetic number, because the mean of its divisors is an integer number (403927875).

Almost surely, 211031331000 is an apocalyptic number.

11031331000 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 11031331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925692000).

11031331000 is an abundant number, since it is smaller than the sum of its proper divisors (14820053000).

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

11031331000 is a wasteful number, since it uses less digits than its factorization.

11031331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16289 (or 16275 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 11031331000 its reverse (13313011), we get a palindrome (11044644011).

The spelling of 11031331000 in words is "eleven billion, thirty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 709 1000 1418 2836 3545 5672 7090 14180 15559 17725 28360 31118 35450 62236 70900 77795 88625 124472 141800 155590 177250 311180 354500 388975 622360 709000 777950 1555900 1944875 3111800 3889750 7779500 11031331 15559000 22062662 44125324 55156655 88250648 110313310 220626620 275783275 441253240 551566550 1103133100 1378916375 2206266200 2757832750 5515665500 11031331000