Search a number
-
+
2332312330031 = 172271145920411
BaseRepresentation
bin100001111100001000101…
…001011101111100101111
322020222002212010022120022
4201330020221131330233
5301203033424030111
64543241031312355
7330334605463265
oct41741051357457
98228085108508
102332312330031
1181a145563972
1231802681b6bb
1313bc22829498
1480c55198435
1540a072c02db
hex21f08a5df2f

2332312330031 has 24 divisors (see below), whose sum is σ = 2488546126080. Its totient is φ = 2185411363200.

The previous prime is 2332312329989. The next prime is 2332312330063. The reversal of 2332312330031 is 1300332132332.

It is a happy number.

It is not a de Polignac number, because 2332312330031 - 226 = 2332245221167 is a prime.

It is a super-2 number, since 2×23323123300312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332312330531) 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 23 ways as a sum of consecutive naturals, for example, 114257216 + ... + 114277626.

It is an arithmetic number, because the mean of its divisors is an integer number (103689421920).

Almost surely, 22332312330031 is an apocalyptic number.

2332312330031 is a deficient number, since it is larger than the sum of its proper divisors (156233796049).

2332312330031 is a wasteful number, since it uses less digits than its factorization.

2332312330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22175 (or 22158 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 2332312330031 its reverse (1300332132332), we get a palindrome (3632644462363).

The spelling of 2332312330031 in words is "two trillion, three hundred thirty-two billion, three hundred twelve million, three hundred thirty thousand, thirty-one".

Divisors: 1 17 271 289 1459 4607 20411 24803 78319 346987 395389 421651 5531381 5898779 6721613 29779649 94033477 114267421 506254033 1598569109 8070284879 8606318561 137194842943 2332312330031