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312332424030413 = 7315795348895849
BaseRepresentation
bin100011100000100001000111…
…1001011111010100011001101
31111221212200120122111010100222
41013001002033023322203031
5311414223301022433123
63024135311303001125
7122534162426234033
oct10701021713724315
91457780518433328
10312332424030413
119057848996a576
122b044148a391a5
1310537a8a268ac7
14571ad818b8553
15261973a7886c8
hex11c108f2fa8cd

312332424030413 has 32 divisors (see below), whose sum is σ = 319081706892000. Its totient is φ = 305655774068736.

The previous prime is 312332424030379. The next prime is 312332424030461. The reversal of 312332424030413 is 314030424233213.

It can be written as a sum of positive squares in 16 ways, for example, as 68510351301604 + 243822072728809 = 8277098^2 + 15614803^2 .

It is a cyclic number.

It is not a de Polignac number, because 312332424030413 - 212 = 312332424026317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332424030113) 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 31 ways as a sum of consecutive naturals, for example, 53399283113 + ... + 53399288961.

It is an arithmetic number, because the mean of its divisors is an integer number (9971303340375).

Almost surely, 2312332424030413 is an apocalyptic number.

It is an amenable number.

312332424030413 is a deficient number, since it is larger than the sum of its proper divisors (6749282861587).

312332424030413 is a wasteful number, since it uses less digits than its factorization.

312332424030413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11921.

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 312332424030413 its reverse (314030424233213), we get a palindrome (626362848263626).

The spelling of 312332424030413 in words is "three hundred twelve trillion, three hundred thirty-two billion, four hundred twenty-four million, thirty thousand, four hundred thirteen".

Divisors: 1 73 157 953 4889 5849 11461 69569 149621 356897 426977 767573 918293 4659217 5574097 10922333 28595761 56032829 67035389 340122841 406909081 731497069 875133229 2087490553 4489534477 27251760233 53399286037 63884725717 327736016821 1989378497009 4278526356581 312332424030413