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312132120433343 = 71929809100032311
BaseRepresentation
bin100011011111000011110110…
…0001010010101001010111111
31111221011112120010221002222122
41012332013230022111022333
5311402433040312331333
63023503303325433155
7122513541630606260
oct10676075412251277
91457145503832878
10312132120433343
1190500541798401
122b01136770b7bb
1310521c1808c7c2
1457113bd368967
152614415844798
hex11be1ec2952bf

312132120433343 has 32 divisors (see below), whose sum is σ = 388925629056000. Its totient is φ = 244418145995520.

The previous prime is 312132120433307. The next prime is 312132120433391. The reversal of 312132120433343 is 343334021231213.

It is not a de Polignac number, because 312132120433343 - 212 = 312132120429247 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 (312132120433043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46895843 + ... + 53136468.

It is an arithmetic number, because the mean of its divisors is an integer number (12153925908000).

Almost surely, 2312132120433343 is an apocalyptic number.

312132120433343 is a deficient number, since it is larger than the sum of its proper divisors (76793508622657).

312132120433343 is a wasteful number, since it uses less digits than its factorization.

312132120433343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100033175.

The product of its (nonzero) digits is 93312, while the sum is 35.

Adding to 312132120433343 its reverse (343334021231213), we get a palindrome (655466141664556).

The spelling of 312132120433343 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, four hundred thirty-three thousand, three hundred forty-three".

Divisors: 1 7 19 29 133 203 551 809 3857 5663 15371 23461 107597 164227 445759 3120313 100032311 700226177 1900613909 2900937019 13304297363 20306559133 55117803361 80926139599 385824623527 566482977193 1537596652381 2346858048371 10763176566667 16428006338597 44590302919049 312132120433343