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1005205423334 = 27349205731769
BaseRepresentation
bin11101010000010101110…
…10011000010011100110
310120002121111100022212212
432220022322120103212
5112432130042021314
62045441320443422
7132423633056240
oct16501272302346
93502544308785
101005205423334
1135833a28a552
12142995319572
1373a378600a8
143691b8dd090
151b233748e3e
hexea0ae984e6

1005205423334 has 16 divisors (see below), whose sum is σ = 1728146868000. Its totient is φ = 429567931584.

The previous prime is 1005205423331. The next prime is 1005205423349. The reversal of 1005205423334 is 4333245025001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005205423334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005205423331) 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 7 ways as a sum of consecutive naturals, for example, 102860999 + ... + 102870770.

It is an arithmetic number, because the mean of its divisors is an integer number (108009179250).

Almost surely, 21005205423334 is an apocalyptic number.

1005205423334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1005205423334 is a deficient number, since it is larger than the sum of its proper divisors (722941444666).

1005205423334 is a wasteful number, since it uses less digits than its factorization.

1005205423334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205732127.

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 1005205423334 in words is "one trillion, five billion, two hundred five million, four hundred twenty-three thousand, three hundred thirty-four".

Divisors: 1 2 7 14 349 698 2443 4886 205731769 411463538 1440122383 2880244766 71800387381 143600774762 502602711667 1005205423334