Search a number
-
+
3112132330131 = 311531779378119
BaseRepresentation
bin101101010010011001100…
…010101100001010010011
3102000111221212000211212020
4231102121202230022103
5401442121334031011
610341405512302523
7440562353223336
oct55223142541223
912014855024766
103112132330131
11a9a936626aa0
1242319a9a1a43
1319761ba273c6
14aa8b138061d
1555e48b3d006
hex2d4998ac293

3112132330131 has 16 divisors (see below), whose sum is σ = 4612148087040. Its totient is φ = 1850553242720.

The previous prime is 3112132330063. The next prime is 3112132330141. The reversal of 3112132330131 is 1310332312113.

3112132330131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3112132330131 - 213 = 3112132321939 is a prime.

It is a super-2 number, since 2×31121323301312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3112132330141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889687311 + ... + 889690808.

It is an arithmetic number, because the mean of its divisors is an integer number (288259255440).

Almost surely, 23112132330131 is an apocalyptic number.

3112132330131 is a deficient number, since it is larger than the sum of its proper divisors (1500015756909).

3112132330131 is a wasteful number, since it uses less digits than its factorization.

3112132330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779378186.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 3112132330131 its reverse (1310332312113), we get a palindrome (4422464642244).

The spelling of 3112132330131 in words is "three trillion, one hundred twelve billion, one hundred thirty-two million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 11 33 53 159 583 1749 1779378119 5338134357 19573159309 58719477927 94307040307 282921120921 1037377443377 3112132330131