Search a number
-
+
11312133102024 = 233482399770909
BaseRepresentation
bin1010010010011100111110…
…1011001101100111001000
31111001102121000011011001120
42210213033223031213020
52440314222033231044
640020415555115240
72245163126603166
oct244471753154710
944042530134046
1011312133102024
1136714a3258357
12132844a5a2b20
13640963b4ab71
142b171dc62236
151493c412b519
hexa49cfacd9c8

11312133102024 has 32 divisors (see below), whose sum is σ = 28280921904000. Its totient is φ = 3770632480832.

The previous prime is 11312133101963. The next prime is 11312133102059. The reversal of 11312133102024 is 42020133121311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11312133101985 and 11312133102003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3727719 + ... + 6043190.

It is an arithmetic number, because the mean of its divisors is an integer number (883778809500).

Almost surely, 211312133102024 is an apocalyptic number.

It is an amenable number.

11312133102024 is an abundant number, since it is smaller than the sum of its proper divisors (16968788801976).

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

11312133102024 is a wasteful number, since it uses less digits than its factorization.

11312133102024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819157 (or 9819153 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11312133102024 its reverse (42020133121311), we get a palindrome (53332266223335).

The spelling of 11312133102024 in words is "eleven trillion, three hundred twelve billion, one hundred thirty-three million, one hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 48239 96478 144717 192956 289434 385912 578868 1157736 9770909 19541818 29312727 39083636 58625454 78167272 117250908 234501816 471338879251 942677758502 1414016637753 1885355517004 2828033275506 3770711034008 5656066551012 11312133102024