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11000133300 = 22352133776231
BaseRepresentation
bin10100011111010100…
…01011011010110100
31001101121200200002110
422033222023122310
5140012013231200
65015311011020
7536410406322
oct121752133264
931347620073
1011000133300
114735319a62
12216bb09a70
131063c73220
14764d06d12
15445ab8b50
hex28fa8b6b4

11000133300 has 144 divisors (see below), whose sum is σ = 35202108032. Its totient is φ = 2634508800.

The previous prime is 11000133293. The next prime is 11000133317. The reversal of 11000133300 is 333100011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106185 + ... + 182415.

Almost surely, 211000133300 is an apocalyptic number.

11000133300 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 11000133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17601054016).

11000133300 is an abundant number, since it is smaller than the sum of its proper divisors (24201974732).

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

11000133300 is a wasteful number, since it uses less digits than its factorization.

11000133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76298 (or 76291 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 11000133300 its reverse (333100011), we get a palindrome (11333233311).

The spelling of 11000133300 in words is "eleven billion, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 24050 28860 36075 48100 72150 76231 144300 152462 228693 304924 381155 457386 762310 914772 991003 1143465 1524620 1905775 1982006 2286930 2820547 2973009 3811550 3964012 4573860 4955015 5641094 5717325 5946018 7623100 8461641 9910030 11282188 11434650 11892036 14102735 14865045 16923282 19820060 22869300 24775075 28205470 29730090 33846564 36667111 42308205 49550150 56410940 59460180 70513675 73334222 74325225 84616410 99100300 110001333 141027350 146668444 148650450 169232820 183335555 211541025 220002666 282054700 297300900 366671110 423082050 440005332 550006665 733342220 846164100 916677775 1100013330 1833355550 2200026660 2750033325 3666711100 5500066650 11000133300