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11323340301 = 37131919311311
BaseRepresentation
bin10101000101110110…
…00111011000001101
31002020010212021202010
422202323013120031
5141142233342201
65111334251433
7550413542640
oct124273073015
932203767663
1011323340301
114890804189
1222401b6b79
1310b5c08080
14795bdba57
1546415dbd6
hex2a2ec760d

11323340301 has 64 divisors (see below), whose sum is σ = 19662970880. Its totient is φ = 5628579840.

The previous prime is 11323340257. The next prime is 11323340317. The reversal of 11323340301 is 10304332311.

11323340301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11323340301 - 213 = 11323332109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323340341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 995436 + ... + 1006746.

It is an arithmetic number, because the mean of its divisors is an integer number (307233920).

Almost surely, 211323340301 is an apocalyptic number.

It is an amenable number.

11323340301 is a deficient number, since it is larger than the sum of its proper divisors (8339630579).

11323340301 is a wasteful number, since it uses less digits than its factorization.

11323340301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11546.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11323340301 its reverse (10304332311), we get a palindrome (21627672612).

It can be divided in two parts, 1132 and 3340301, that added together give a palindrome (3341433).

The spelling of 11323340301 in words is "eleven billion, three hundred twenty-three million, three hundred forty thousand, three hundred one".

Divisors: 1 3 7 13 19 21 39 57 91 133 193 247 273 399 579 741 1351 1729 2509 3667 4053 5187 7527 11001 11311 17563 25669 33933 47671 52689 77007 79177 143013 147043 214909 237531 333697 441129 644727 1001091 1029301 1504363 2183023 2793817 3087903 4513089 6549069 8381451 15281161 19556719 28379299 41477437 45843483 58670157 85137897 124432311 198655093 290342059 539206681 595965279 871026177 1617620043 3774446767 11323340301