Search a number
-
+
133242303012 = 223713701174061
BaseRepresentation
bin111110000010111011…
…1000011001000100100
3110201220212220022012120
41330011313003020210
54140340012144022
6141113300545540
712424603613550
oct1740567031044
9421825808176
10133242303012
11515648963a5
12219a66b22b0
13c745835220
14663dd46860
1536ec81ad5c
hex1f05dc3224

133242303012 has 96 divisors (see below), whose sum is σ = 383192619264. Its totient is φ = 35090496000.

The previous prime is 133242302981. The next prime is 133242303031. The reversal of 133242303012 is 210303242331.

133242303012 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1332423030122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 678462 + ... + 852522.

It is an arithmetic number, because the mean of its divisors is an integer number (3991589784).

Almost surely, 2133242303012 is an apocalyptic number.

133242303012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133242303012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191596309632).

133242303012 is an abundant number, since it is smaller than the sum of its proper divisors (249950316252).

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

133242303012 is a wasteful number, since it uses less digits than its factorization.

133242303012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174789 (or 174787 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 133242303012 its reverse (210303242331), we get a palindrome (343545545343).

The spelling of 133242303012 in words is "one hundred thirty-three billion, two hundred forty-two million, three hundred three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 701 1092 1402 2103 2804 4206 4907 8412 9113 9814 14721 18226 19628 27339 29442 36452 54678 58884 63791 109356 127582 174061 191373 255164 348122 382746 522183 696244 765492 1044366 1218427 2088732 2262793 2436854 3655281 4525586 4873708 6788379 7310562 9051172 13576758 14621124 15839551 27153516 31679102 47518653 63358204 95037306 122016761 190074612 244033522 366050283 488067044 732100566 854117327 1464201132 1586217893 1708234654 2562351981 3172435786 3416469308 4758653679 5124703962 6344871572 9517307358 10249407924 11103525251 19034614716 22207050502 33310575753 44414101004 66621151506 133242303012