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10010131334343 = 327192440141201
BaseRepresentation
bin1001000110101010101001…
…0100101000010011000111
31022102221220021010100210200
42101222222110220103013
52303001222110144333
633142331342421543
72052131246305230
oct221525224502307
938387807110720
1010010131334343
11320a3001a1508
1211580448918b3
13577c4a10a90a
142686c88bc087
151255be5e4c13
hex91aaa5284c7

10010131334343 has 36 divisors (see below), whose sum is σ = 17440154988048. Its totient is φ = 5419018454400.

The previous prime is 10010131334341. The next prime is 10010131334393. The reversal of 10010131334343 is 34343313101001.

10010131334343 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 1 + 313 + 3 + 4 + 343 = 666.

It is not a de Polignac number, because 10010131334343 - 21 = 10010131334341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010131334341) 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 35 ways as a sum of consecutive naturals, for example, 220047858 + ... + 220093343.

It is an arithmetic number, because the mean of its divisors is an integer number (484448749668).

Almost surely, 210010131334343 is an apocalyptic number.

10010131334343 is a deficient number, since it is larger than the sum of its proper divisors (7430023653705).

10010131334343 is a wasteful number, since it uses less digits than its factorization.

10010131334343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440141252 (or 440141230 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10010131334343 its reverse (34343313101001), we get a palindrome (44353444435344).

The spelling of 10010131334343 in words is "ten trillion, ten billion, one hundred thirty-one million, three hundred thirty-four thousand, three hundred forty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 361 399 1083 1197 2527 3249 7581 22743 440141201 1320423603 3080988407 3961270809 8362682819 9242965221 25088048457 27728895663 58538779733 75264145371 158890973561 175616339199 476672920683 526849017597 1112236814927 1430018762049 3336710444781 10010131334343