Search a number
-
+
12303124533 = 3371036191021
BaseRepresentation
bin10110111010101001…
…01100100000110101
31011202102111111001000
423131110230200311
5200144044441113
65352454353513
7613611555510
oct133524544065
934672444030
1012303124533
11524387a617
12247435b899
131210bb785b
14849da5d77
154c019a373
hex2dd52c835

12303124533 has 64 divisors (see below), whose sum is σ = 21087539200. Its totient is φ = 6944045760.

The previous prime is 12303124531. The next prime is 12303124541. The reversal of 12303124533 is 33542130321.

12303124533 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 124 + 533 = 666.

12303124533 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 12303124533 - 21 = 12303124531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12303124497 and 12303124506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303124531) 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, 12049563 + ... + 12050583.

It is an arithmetic number, because the mean of its divisors is an integer number (329492800).

Almost surely, 212303124533 is an apocalyptic number.

It is an amenable number.

12303124533 is a deficient number, since it is larger than the sum of its proper divisors (8784414667).

12303124533 is a wasteful number, since it uses less digits than its factorization.

12303124533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 12303124533 its reverse (33542130321), we get a palindrome (45845254854).

The spelling of 12303124533 in words is "twelve billion, three hundred three million, one hundred twenty-four thousand, five hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 103 189 309 619 721 927 1021 1857 2163 2781 3063 4333 5571 6489 7147 9189 12999 16713 19467 21441 27567 38997 63757 64323 105163 116991 191271 192969 315489 446299 573813 631999 736141 946467 1338897 1721439 1895997 2208423 2839401 4016691 4423993 5687991 6625269 12050073 13271979 17063973 19875807 39815937 65095897 119447811 195287691 455671279 585863073 1367013837 1757589219 4101041511 12303124533