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1006600131365 = 5386921520313
BaseRepresentation
bin11101010010111100000…
…10110001001100100101
310120020012200201211121212
432221132002301030211
5112443004113200430
62050231542121205
7132503326641353
oct16513602611445
93506180654555
101006600131365
11358995594314
12143104420205
1373bca7a7c0a
1436a10c347d3
151b2b5de5b95
hexea5e0b1325

1006600131365 has 8 divisors (see below), whose sum is σ = 1207925601048. Its totient is φ = 805276476160.

The previous prime is 1006600131343. The next prime is 1006600131371. The reversal of 1006600131365 is 5631310066001.

It can be written as a sum of positive squares in 4 ways, for example, as 192305052676 + 814295078689 = 438526^2 + 902383^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1006600131365 - 216 = 1006600065829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 1674449 + ... + 2194761.

It is an arithmetic number, because the mean of its divisors is an integer number (150990700131).

Almost surely, 21006600131365 is an apocalyptic number.

It is an amenable number.

1006600131365 is a deficient number, since it is larger than the sum of its proper divisors (201325469683).

1006600131365 is an equidigital number, since it uses as much as digits as its factorization.

1006600131365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907239.

The product of its (nonzero) digits is 9720, while the sum is 32.

Adding to 1006600131365 its reverse (5631310066001), we get a palindrome (6637910197366).

The spelling of 1006600131365 in words is "one trillion, six billion, six hundred million, one hundred thirty-one thousand, three hundred sixty-five".

Divisors: 1 5 386921 520313 1934605 2601565 201320026273 1006600131365