Search a number
-
+
11231101323 = 321317371011511
BaseRepresentation
bin10100111010110110…
…10000000110001011
31001222201022001122200
422131123100012023
5141000130220243
65054241251243
7545213533431
oct123533200613
931881261580
1011231101323
114843733722
122215333b23
13109ca80cb0
1478786ad51
1545aeddad3
hex29d6d018b

11231101323 has 96 divisors (see below), whose sum is σ = 19199037312. Its totient is φ = 6262272000.

The previous prime is 11231101313. The next prime is 11231101337. The reversal of 11231101323 is 32310113211.

11231101323 is a `hidden beast` number, since 11 + 231 + 101 + 323 = 666.

It is not a de Polignac number, because 11231101323 - 210 = 11231100299 is a prime.

It is a super-2 number, since 2×112311013232 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11231101296 and 11231101305.

It is not an unprimeable number, because it can be changed into a prime (11231101313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7432138 + ... + 7433648.

It is an arithmetic number, because the mean of its divisors is an integer number (199989972).

Almost surely, 211231101323 is an apocalyptic number.

11231101323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11231101323 is a deficient number, since it is larger than the sum of its proper divisors (7967935989).

11231101323 is a wasteful number, since it uses less digits than its factorization.

11231101323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11231101323 its reverse (32310113211), we get a palindrome (43541214534).

The spelling of 11231101323 in words is "eleven billion, two hundred thirty-one million, one hundred one thousand, three hundred twenty-three".

Divisors: 1 3 9 13 17 37 39 51 101 111 117 153 221 303 333 481 629 663 909 1313 1443 1511 1717 1887 1989 3737 3939 4329 4533 5151 5661 8177 11211 11817 13599 15453 19643 22321 24531 25687 33633 48581 55907 58929 63529 66963 73593 77061 145743 152611 167721 176787 190587 200889 231183 333931 437229 457833 503163 571761 726791 825877 950419 1001793 1373499 1983943 2180373 2477631 2594387 2851257 3005379 5646607 5951829 6541119 7432893 7783161 8553771 12355447 16939821 17855487 23349483 33727031 37066341 50819463 73405891 95992319 101181093 111199023 220217673 287976957 303543279 660653019 863930871 1247900147 3743700441 11231101323