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10312541343 = 3213175184787
BaseRepresentation
bin10011001101010110…
…01110010010011111
3222121200212101020200
421212223032102133
5132110002310333
64423145314543
7513361104126
oct114653162237
928550771220
1010312541343
114412184a45
121bb9795a53
13c84689790
146db87cabd
15405547c13
hex266ace49f

10312541343 has 24 divisors (see below), whose sum is σ = 16985365488. Its totient is φ = 5972873472.

The previous prime is 10312541341. The next prime is 10312541357. The reversal of 10312541343 is 34314521301.

It is a happy number.

10312541343 is a `hidden beast` number, since 1 + 0 + 312 + 5 + 4 + 1 + 343 = 666.

It is not a de Polignac number, because 10312541343 - 21 = 10312541341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312541341) 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 23 ways as a sum of consecutive naturals, for example, 2590405 + ... + 2594382.

It is an arithmetic number, because the mean of its divisors is an integer number (707723562).

Almost surely, 210312541343 is an apocalyptic number.

10312541343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10312541343 is a deficient number, since it is larger than the sum of its proper divisors (6672824145).

10312541343 is a wasteful number, since it uses less digits than its factorization.

10312541343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184823 (or 5184820 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10312541343 in words is "ten billion, three hundred twelve million, five hundred forty-one thousand, three hundred forty-three".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 5184787 15554361 46663083 67402231 88141379 202206693 264424137 606620079 793272411 1145837927 3437513781 10312541343