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11111303000 = 235374093881
BaseRepresentation
bin10100101100100100…
…10000011101011000
31001200100212200020202
422112102100131120
5140223443144000
65034321441332
7542230342250
oct122622203530
931610780222
1011111303000
11479204a446
1221a11a0248
131080cc7b05
147759a4960
15450727dd5
hex296490758

11111303000 has 128 divisors (see below), whose sum is σ = 29795126400. Its totient is φ = 3799296000.

The previous prime is 11111302963. The next prime is 11111303011. The reversal of 11111303000 is 30311111.

It is a happy number.

It is a super-2 number, since 2×111113030002 (a number of 21 digits) contains 22 as substring.

It is a congruent 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, 2861060 + ... + 2864940.

It is an arithmetic number, because the mean of its divisors is an integer number (232774425).

Almost surely, 211111303000 is an apocalyptic number.

11111303000 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 11111303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897563200).

11111303000 is an abundant number, since it is smaller than the sum of its proper divisors (18683823400).

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

11111303000 is a wasteful number, since it uses less digits than its factorization.

11111303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 11111303000 its reverse (30311111), we get a palindrome (11141614111).

The spelling of 11111303000 in words is "eleven billion, one hundred eleven million, three hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 409 500 700 818 875 1000 1400 1636 1750 2045 2863 3272 3500 3881 4090 5726 7000 7762 8180 10225 11452 14315 15524 16360 19405 20450 22904 27167 28630 31048 38810 40900 51125 54334 57260 71575 77620 81800 97025 102250 108668 114520 135835 143150 155240 194050 204500 217336 271670 286300 357875 388100 409000 485125 543340 572600 679175 715750 776200 970250 1086680 1358350 1431500 1587329 1940500 2716700 2863000 3174658 3395875 3881000 5433400 6349316 6791750 7936645 11111303 12698632 13583500 15873290 22222606 27167000 31746580 39683225 44445212 55556515 63493160 79366450 88890424 111113030 158732900 198416125 222226060 277782575 317465800 396832250 444452120 555565150 793664500 1111130300 1388912875 1587329000 2222260600 2777825750 5555651500 11111303000