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312332241031413 = 319124617018831
BaseRepresentation
bin100011100000100001000010…
…0010001110101000011110101
31111221212200002220010210221020
41013001002010101311003311
5311414222412201001123
63024135241204411353
7122534155044615201
oct10701020421650365
91457780086123836
10312332241031413
11905783a5639729
122b0440b76a6b59
1310537a5b384b85
14571ad6547db01
15261972968b7e3
hex11c10844750f5

312332241031413 has 48 divisors (see below), whose sum is σ = 420188902189056. Its totient is φ = 206363810800000.

The previous prime is 312332241031409. The next prime is 312332241031441. The reversal of 312332241031413 is 314130142233213.

It is not a de Polignac number, because 312332241031413 - 22 = 312332241031409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332241531413) 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 47 ways as a sum of consecutive naturals, for example, 35367704908 + ... + 35367713738.

It is an arithmetic number, because the mean of its divisors is an integer number (8753935462272).

Almost surely, 2312332241031413 is an apocalyptic number.

It is an amenable number.

312332241031413 is a deficient number, since it is larger than the sum of its proper divisors (107856661157643).

312332241031413 is an equidigital number, since it uses as much as digits as its factorization.

312332241031413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10378 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 312332241031413 its reverse (314130142233213), we get a palindrome (626462383264626).

The spelling of 312332241031413 in words is "three hundred twelve trillion, three hundred thirty-two billion, two hundred forty-one million, thirty-one thousand, four hundred thirteen".

Divisors: 1 3 191 461 573 701 1383 2103 8831 26493 36481 88051 109443 133891 264153 323161 401673 969483 1686721 4071091 5060163 6190531 12213273 16817741 18571593 25573181 50453223 61723751 76719543 185171253 322163711 777578381 966491133 1182391421 2332735143 2853834791 3547174263 8561504373 11789236441 35367709323 148517470771 225836761411 445552412313 545082445081 677510284233 1635247335243 104110747010471 312332241031413