Search a number
-
+
12233330013132 = 2232748745387301
BaseRepresentation
bin1011001000000100101101…
…0010100011001111001100
31121022111100210122212220200
42302001023102203033030
53100412324440410012
642003525250013500
72401554215262324
oct262011322431714
947274323585820
1012233330013132
1139971429631a8
121456a99577290
136a97a0c64107
1430414c498284
1516333c4ee3dc
hexb204b4a33cc

12233330013132 has 36 divisors (see below), whose sum is σ = 30927270681216. Its totient is φ = 4077231933600.

The previous prime is 12233330013109. The next prime is 12233330013133. The reversal of 12233330013132 is 23131003333221.

12233330013132 is a `hidden beast` number, since 1 + 2 + 2 + 333 + 300 + 13 + 13 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12233330013096 and 12233330013105.

It is not an unprimeable number, because it can be changed into a prime (12233330013133) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22424119 + ... + 22963182.

It is an arithmetic number, because the mean of its divisors is an integer number (859090852256).

Almost surely, 212233330013132 is an apocalyptic number.

12233330013132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12233330013132 is an abundant number, since it is smaller than the sum of its proper divisors (18693940668084).

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

12233330013132 is a wasteful number, since it uses less digits than its factorization.

12233330013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45394798 (or 45394793 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12233330013132 its reverse (23131003333221), we get a palindrome (35364333346353).

The spelling of 12233330013132 in words is "twelve trillion, two hundred thirty-three billion, three hundred thirty million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 7487 14974 22461 29948 44922 67383 89844 134766 269532 45387301 90774602 136161903 181549204 272323806 408485709 544647612 816971418 1633942836 339814722587 679629445174 1019444167761 1359258890348 2038888335522 3058332503283 4077776671044 6116665006566 12233330013132