Search a number
-
+
133324505423331 = 36726631447917203
BaseRepresentation
bin11110010100001000000111…
…110010010001110111100011
3122111001200212000111002010120
4132110020013302101313203
5114433342041342021311
61151320233210531323
740040243350434135
oct3624100762216743
9574050760432116
10133324505423331
1139532672604482
1212b53223136b43
1359515a6b43781
1424ccd249db055
151063122a27706
hex794207c91de3

133324505423331 has 32 divisors (see below), whose sum is σ = 180509939343360. Its totient is φ = 87512380569504.

The previous prime is 133324505423303. The next prime is 133324505423341.

133324505423331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133324505423331 - 25 = 133324505423299 is a prime.

It is a super-2 number, since 2×1333245054233312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133324505423341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7750064376 + ... + 7750081578.

It is an arithmetic number, because the mean of its divisors is an integer number (5640935604480).

Almost surely, 2133324505423331 is an apocalyptic number.

133324505423331 is a deficient number, since it is larger than the sum of its proper divisors (47185433920029).

133324505423331 is a wasteful number, since it uses less digits than its factorization.

133324505423331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34415.

The product of its (nonzero) digits is 1166400, while the sum is 42.

It can be divided in two parts, 13332450 and 5423331, that added together give a palindrome (18755781).

The spelling of 133324505423331 in words is "one hundred thirty-three trillion, three hundred twenty-four billion, five hundred five million, four hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 67 201 2663 7989 14479 17203 43437 51609 178421 535263 970093 1152601 2910279 3457803 38557577 45811589 115672731 137434767 249082237 747246711 2583357659 3069376463 7750072977 9208129389 16688509879 50065529637 663305997131 1989917991393 44441501807777 133324505423331