Search a number
-
+
2331033133032 = 233232375460181
BaseRepresentation
bin100001111010111100011…
…001101101111111101000
322020211210201002101011200
4201322330121231333220
5301142423440224112
64542510053524200
7330261113465052
oct41727431557750
98224721071150
102331033133032
1181964948526a
1231792a343660
1313ba7a7c6296
1480b733308d2
154097ed3dcdc
hex21ebc66dfe8

2331033133032 has 24 divisors (see below), whose sum is σ = 6313214735490. Its totient is φ = 777011044320.

The previous prime is 2331033132959. The next prime is 2331033133043. The reversal of 2331033133032 is 2303313301332.

2331033133032 is a `hidden beast` number, since 2 + 3 + 310 + 3 + 313 + 3 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2331014418756 + 18714276 = 1526766^2 + 4326^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 2331033132987 and 2331033133005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16187730019 + ... + 16187730162.

Almost surely, 22331033133032 is an apocalyptic number.

It is an amenable number.

2331033133032 is an abundant number, since it is smaller than the sum of its proper divisors (3982181602458).

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

2331033133032 is a wasteful number, since it uses less digits than its factorization.

2331033133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32375460193 (or 32375460186 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 2331033133032 its reverse (2303313301332), we get a palindrome (4634346434364).

The spelling of 2331033133032 in words is "two trillion, three hundred thirty-one billion, thirty-three million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 32375460181 64750920362 97126380543 129501840724 194252761086 259003681448 291379141629 388505522172 582758283258 777011044344 1165516566516 2331033133032