Search a number
-
+
31430033110233 = 331164075300379
BaseRepresentation
bin1110010010101110111111…
…11101010111010011011001
311010021200102001021122001000
413021113133331113103121
513104422201434011413
6150502431411415213
76422513343306342
oct711273775272331
9133250361248030
1031430033110233
11a0184473475aa
1236374265b4509
13146cabb231a64
147a931657d0c9
15397879903073
hex1c95dff574d9

31430033110233 has 8 divisors (see below), whose sum is σ = 46563012015200. Its totient is φ = 20953355406804.

The previous prime is 31430033110213. The next prime is 31430033110243. The reversal of 31430033110233 is 33201133003413.

31430033110233 is a `hidden beast` number, since 3 + 1 + 4 + 300 + 331 + 1 + 0 + 23 + 3 = 666.

It is not a de Polignac number, because 31430033110233 - 212 = 31430033106137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1164075300379 = 31430033110233 / (3 + 1 + 4 + 3 + 0 + 0 + 3 + 3 + 1 + 1 + 0 + 2 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31430033110197 and 31430033110206.

It is not an unprimeable number, because it can be changed into a prime (31430033110213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582037650163 + ... + 582037650216.

It is an arithmetic number, because the mean of its divisors is an integer number (5820376501900).

Almost surely, 231430033110233 is an apocalyptic number.

It is an amenable number.

31430033110233 is a deficient number, since it is larger than the sum of its proper divisors (15132978904967).

31430033110233 is a wasteful number, since it uses less digits than its factorization.

31430033110233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164075300388 (or 1164075300382 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31430033110233 its reverse (33201133003413), we get a palindrome (64631166113646).

The spelling of 31430033110233 in words is "thirty-one trillion, four hundred thirty billion, thirty-three million, one hundred ten thousand, two hundred thirty-three".

Divisors: 1 3 9 27 1164075300379 3492225901137 10476677703411 31430033110233