Search a number
-
+
11002101330 = 23511374332081
BaseRepresentation
bin10100011111100011…
…01011111001010010
31001101202101122201110
422033301223321102
5140013014220310
65015421114150
7536433214113
oct121761537122
931352348643
1011002101330
114736443630
1221706b8956
1310644b1c3c
1476529a20a
15445d56d20
hex28fc6be52

11002101330 has 128 divisors (see below), whose sum is σ = 29666601216. Its totient is φ = 2587852800.

The previous prime is 11002101311. The next prime is 11002101343. The reversal of 11002101330 is 3310120011.

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 63 ways as a sum of consecutive naturals, for example, 5285890 + ... + 5287970.

It is an arithmetic number, because the mean of its divisors is an integer number (231770322).

Almost surely, 211002101330 is an apocalyptic number.

11002101330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833300608).

11002101330 is an abundant number, since it is smaller than the sum of its proper divisors (18664499886).

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

11002101330 is a wasteful number, since it uses less digits than its factorization.

11002101330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11002101330 its reverse (3310120011), we get a palindrome (14312221341).

The spelling of 11002101330 in words is "eleven billion, two million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 433 555 814 866 1110 1221 1299 2035 2081 2165 2442 2598 4070 4162 4330 4763 6105 6243 6495 9526 10405 12210 12486 12990 14289 16021 20810 22891 23815 28578 31215 32042 45782 47630 48063 62430 68673 71445 76997 80105 96126 114455 137346 142890 153994 160210 176231 228910 230991 240315 343365 352462 384985 461982 480630 528693 686730 769970 846967 881155 901073 1057386 1154955 1693934 1762310 1802146 2309910 2540901 2643465 2703219 4234835 4505365 5081802 5286930 5406438 8469670 9010730 9911803 12704505 13516095 19823606 25409010 27032190 29735409 33339701 49559015 59470818 66679402 99118030 100019103 148677045 166698505 200038206 297354090 333397010 366736711 500095515 733473422 1000191030 1100210133 1833683555 2200420266 3667367110 5501050665 11002101330