Search a number
-
+
12213132302133 = 327297391572623
BaseRepresentation
bin1011000110111001011101…
…1010011001011100110101
31121020120020012002212011100
42301232113122121130311
53100044443332132013
641550345135000313
72400240542463450
oct261562732313465
947216205085140
1012213132302133
113989618874a64
121452ba1369099
136a7902624029
14303193c28497
15162a5922c473
hexb1b97699735

12213132302133 has 48 divisors (see below), whose sum is σ = 21142287429120. Its totient is φ = 6645974614272.

The previous prime is 12213132302117. The next prime is 12213132302153. The reversal of 12213132302133 is 33120323131221.

12213132302133 is a `hidden beast` number, since 1 + 2 + 213 + 1 + 3 + 230 + 213 + 3 = 666.

It is not a de Polignac number, because 12213132302133 - 24 = 12213132302117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12213132302097 and 12213132302106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213132302113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45652941 + ... + 45919682.

It is an arithmetic number, because the mean of its divisors is an integer number (440464321440).

Almost surely, 212213132302133 is an apocalyptic number.

It is an amenable number.

12213132302133 is a deficient number, since it is larger than the sum of its proper divisors (8929155126987).

12213132302133 is a wasteful number, since it uses less digits than its factorization.

12213132302133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91572738 (or 91572735 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12213132302133 its reverse (33120323131221), we get a palindrome (45333455433354).

The spelling of 12213132302133 in words is "twelve trillion, two hundred thirteen billion, one hundred thirty-two million, three hundred two thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 29 63 73 87 203 219 261 511 609 657 1533 1827 2117 4599 6351 14819 19053 44457 133371 91572623 274717869 641008361 824153607 1923025083 2655606067 5769075249 6684801479 7966818201 18589242469 20054404437 23900454603 46793610353 55767727407 60163213311 140380831059 167303182221 193859242891 421142493177 581577728673 1357014700237 1744733186019 4071044100711 12213132302133