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312330242033213 = 4728541232834319
BaseRepresentation
bin100011100000100000000110…
…1001000010000011000111101
31111221212110221120200011220212
41013001000031020100120331
5311414204313430030323
63024134310555122205
7122534054362455125
oct10701001510203075
91457773846604825
10312330242033213
119057756a2167a8
122b04383a143365
131053780019b7c1
14571ac15ba5c85
15261965de25b78
hex11c100d21063d

312330242033213 has 8 divisors (see below), whose sum is σ = 318986743749120. Its totient is φ = 305674206043120.

The previous prime is 312330242033143. The next prime is 312330242033231.

312330242033213 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312330242033213 - 210 = 312330242032189 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312330242033213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312330242033263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115075733 + ... + 117758586.

It is an arithmetic number, because the mean of its divisors is an integer number (39873342968640).

Almost surely, 2312330242033213 is an apocalyptic number.

It is an amenable number.

312330242033213 is a deficient number, since it is larger than the sum of its proper divisors (6656501715907).

312330242033213 is a wasteful number, since it uses less digits than its factorization.

312330242033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232862907.

The product of its (nonzero) digits is 46656, while the sum is 32.

The spelling of 312330242033213 in words is "three hundred twelve trillion, three hundred thirty billion, two hundred forty-two million, thirty-three thousand, two hundred thirteen".

Divisors: 1 47 28541 1341427 232834319 10943212993 6645324298579 312330242033213