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11330321100 = 22352710949499
BaseRepresentation
bin10101000110101011…
…01111101011001100
31002020121222221121020
422203111233223030
5141201030233400
65112144034140
7550530066060
oct124325575314
932217887536
1011330321100
114894741a3a
122242602950
1310b74b0617
14796ad7aa0
15464a8c2a0
hex2a356facc

11330321100 has 144 divisors (see below), whose sum is σ = 37810080000. Its totient is φ = 2565976320.

The previous prime is 11330321071. The next prime is 11330321137. The reversal of 11330321100 is 112303311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11330321100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204151 + ... + 253649.

It is an arithmetic number, because the mean of its divisors is an integer number (262570000).

Almost surely, 211330321100 is an apocalyptic number.

11330321100 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 11330321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18905040000).

11330321100 is an abundant number, since it is smaller than the sum of its proper divisors (26479758900).

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

11330321100 is a wasteful number, since it uses less digits than its factorization.

11330321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49632 (or 49625 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11330321100 its reverse (112303311), we get a palindrome (11442624411).

The spelling of 11330321100 in words is "eleven billion, three hundred thirty million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 109 140 150 175 210 218 300 327 350 420 436 525 545 654 700 763 1050 1090 1308 1526 1635 2100 2180 2289 2725 3052 3270 3815 4578 5450 6540 7630 8175 9156 10900 11445 15260 16350 19075 22890 32700 38150 45780 49499 57225 76300 98998 114450 148497 197996 228900 247495 296994 346493 494990 593988 692986 742485 989980 1039479 1237475 1385972 1484970 1732465 2078958 2474950 2969940 3464930 3712425 4157916 4949900 5197395 5395391 6929860 7424850 8662325 10394790 10790782 14849700 16186173 17324650 20789580 21581564 25986975 26976955 32372346 34649300 37767737 51973950 53953910 64744692 75535474 80930865 103947900 107907820 113303211 134884775 151070948 161861730 188838685 226606422 269769550 323723460 377677370 404654325 453212844 539539100 566516055 755354740 809308650 944193425 1133032110 1618617300 1888386850 2266064220 2832580275 3776773700 5665160550 11330321100