Search a number
-
+
33233123131 = 1322322511481
BaseRepresentation
bin11110111100110110…
…010011011100111011
310011210001222120112021
4132330312103130323
51021030134420011
623133405055311
72254355612545
oct367466233473
9104701876467
1033233123131
111310426031a
126535857537
133198160300
1418739b6695
15ce78bb471
hex7bcd9373b

33233123131 has 36 divisors (see below), whose sum is σ = 37794183336. Its totient is φ = 29206320000.

The previous prime is 33233123101. The next prime is 33233123141. The reversal of 33233123131 is 13132133233.

It is not a de Polignac number, because 33233123131 - 231 = 31085639483 is a prime.

It is a super-2 number, since 2×332331231312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33233123096 and 33233123105.

It is not an unprimeable number, because it can be changed into a prime (33233123101) 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 35 ways as a sum of consecutive naturals, for example, 22438911 + ... + 22440391.

It is an arithmetic number, because the mean of its divisors is an integer number (1049838426).

Almost surely, 233233123131 is an apocalyptic number.

33233123131 is a deficient number, since it is larger than the sum of its proper divisors (4561060205).

33233123131 is a wasteful number, since it uses less digits than its factorization.

33233123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1768 counting only the distinct ones).

The product of its digits is 2916, while the sum is 25.

Adding to 33233123131 its reverse (13132133233), we get a palindrome (46365256364).

The spelling of 33233123131 in words is "thirty-three billion, two hundred thirty-three million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 13 23 169 251 299 529 1481 3263 3887 5773 6877 19253 34063 42419 75049 89401 132779 250289 371731 442819 783449 975637 1726127 4832503 5756647 8549813 10184837 22439651 62822539 111147569 132402881 196645699 1444918397 2556394087 33233123131