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11031133000 = 235331521683
BaseRepresentation
bin10100100011000000…
…11011101101001000
31001110210000121200111
422101200123231020
5140042432224000
65022335244104
7540235040416
oct122140335510
931423017614
1011031133000
114750872548
12217a379634
13106a508244
147690962b6
1544868dcba
hex29181bb48

11031133000 has 128 divisors (see below), whose sum is σ = 26735754240. Its totient is φ = 4255680000.

The previous prime is 11031132997. The next prime is 11031133049. The reversal of 11031133000 is 33113011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16150659 + ... + 16151341.

It is an arithmetic number, because the mean of its divisors is an integer number (208873080).

Almost surely, 211031133000 is an apocalyptic number.

11031133000 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 11031133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367877120).

11031133000 is an abundant number, since it is smaller than the sum of its proper divisors (15704621240).

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

11031133000 is a wasteful number, since it uses less digits than its factorization.

11031133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1242 counting only the distinct ones).

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

Adding to 11031133000 its reverse (33113011), we get a palindrome (11064246011).

The spelling of 11031133000 in words is "eleven billion, thirty-one million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 521 620 683 775 1000 1042 1240 1366 1550 2084 2605 2732 3100 3415 3875 4168 5210 5464 6200 6830 7750 10420 13025 13660 15500 16151 17075 20840 21173 26050 27320 31000 32302 34150 42346 52100 64604 65125 68300 80755 84692 85375 104200 105865 129208 130250 136600 161510 169384 170750 211730 260500 323020 341500 355843 403775 423460 521000 529325 646040 683000 711686 807550 846920 1058650 1423372 1615100 1779215 2018875 2117300 2646625 2846744 3230200 3558430 4037750 4234600 5293250 7116860 8075500 8896075 10586500 11031133 14233720 16151000 17792150 21173000 22062266 35584300 44124532 44480375 55155665 71168600 88249064 88960750 110311330 177921500 220622660 275778325 355843000 441245320 551556650 1103113300 1378891625 2206226600 2757783250 5515566500 11031133000