Search a number
-
+
11322011002230 = 23251734921203459
BaseRepresentation
bin1010010011000001110001…
…1100011010010101110110
31111002101002102011110202100
42210300130130122111312
52440444434304032410
640025132100522530
72245662662430105
oct244603434322566
944071072143670
1011322011002230
113675702056a45
12132a3466b0446
13641879457726
142b1db9ac003c
151497a141b8c0
hexa4c1c71a576

11322011002230 has 96 divisors (see below), whose sum is σ = 31258140732000. Its totient is φ = 2833460499456.

The previous prime is 11322011002223. The next prime is 11322011002273. The reversal of 11322011002230 is 3220011022311.

11322011002230 is a `hidden beast` number, since 1 + 1 + 322 + 0 + 110 + 0 + 2 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10067760 + ... + 11135699.

It is an arithmetic number, because the mean of its divisors is an integer number (325605632625).

Almost surely, 211322011002230 is an apocalyptic number.

11322011002230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11322011002230 is an abundant number, since it is smaller than the sum of its proper divisors (19936129729770).

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

11322011002230 is a wasteful number, since it uses less digits than its factorization.

11322011002230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21203838 (or 21203835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11322011002230 its reverse (3220011022311), we get a palindrome (14542022024541).

The spelling of 11322011002230 in words is "eleven trillion, three hundred twenty-two billion, eleven million, two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 349 510 698 765 1047 1530 1745 2094 3141 3490 5235 5933 6282 10470 11866 15705 17799 29665 31410 35598 53397 59330 88995 106794 177990 266985 533970 21203459 42406918 63610377 106017295 127220754 190831131 212034590 318051885 360458803 381662262 636103770 720917606 954155655 1081376409 1802294015 1908311310 2162752818 3244129227 3604588030 5406882045 6488258454 7400007191 10813764090 14800014382 16220646135 22200021573 32441292270 37000035955 44400043146 66600064719 74000071910 111000107865 125800122247 133200129438 222000215730 251600244494 333000323595 377400366741 629000611235 666000647190 754800733482 1132201100223 1258001222470 1887001833705 2264402200446 3774003667410 5661005501115 11322011002230