Search a number
-
+
133533125131 = 7241532814463
BaseRepresentation
bin111110001011100110…
…0011100101000001011
3110202200011010121011011
41330113030130220023
54141433440001011
6141202210144351
712435034556500
oct1742714345013
9422604117134
10133533125131
11516a3a7135a
1221a67b820b7
13c790b6b713
14666a80b4a7
153718115621
hex1f1731ca0b

133533125131 has 48 divisors (see below), whose sum is σ = 162738834048. Its totient is φ = 109144089600.

The previous prime is 133533125119. The next prime is 133533125183. The reversal of 133533125131 is 131521335331.

It is a happy number.

It is not a de Polignac number, because 133533125131 - 231 = 131385641483 is a prime.

It is a super-2 number, since 2×1335331251312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133533125093 and 133533125102.

It is not an unprimeable number, because it can be changed into a prime (133533125191) 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 47 ways as a sum of consecutive naturals, for example, 29917806 + ... + 29922268.

It is an arithmetic number, because the mean of its divisors is an integer number (3390392376).

Almost surely, 2133533125131 is an apocalyptic number.

133533125131 is a deficient number, since it is larger than the sum of its proper divisors (29205708917).

133533125131 is a wasteful number, since it uses less digits than its factorization.

133533125131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4845 counting only the distinct ones).

The product of its digits is 12150, while the sum is 31.

The spelling of 133533125131 in words is "one hundred thirty-three billion, five hundred thirty-three million, one hundred twenty-five thousand, one hundred thirty-one".

Divisors: 1 7 41 49 53 281 287 371 1967 2009 2173 2597 4463 11521 13769 14893 15211 31241 80647 104251 106477 182983 218687 236539 564529 610613 729757 1254103 1280881 1655773 4274291 8778721 8966167 9698099 11590411 29920037 51418223 61451047 66467459 67886693 359927561 465272213 475206851 2519492927 2725165819 3256905491 19076160733 133533125131