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1341006681001 = 13304133921197
BaseRepresentation
bin10011100000111010001…
…110100001001110101001
311202012101001122200110011
4103200322032201032221
5133432340202243001
62504014443051521
7165612252500251
oct23407216411651
94665331580404
101341006681001
114777993475a9
12197a90510ba1
13995c18b5b20
1448c95722961
1524d38eacd51
hex1383a3a13a9

1341006681001 has 8 divisors (see below), whose sum is σ = 1444635980424. Its totient is φ = 1237445230080.

The previous prime is 1341006680999. The next prime is 1341006681043. The reversal of 1341006681001 is 1001866001431.

It can be written as a sum of positive squares in 4 ways, for example, as 601673256976 + 739333424025 = 775676^2 + 859845^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1341006681001 - 21 = 1341006680999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1341006681701) 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, 16921066 + ... + 17000131.

It is an arithmetic number, because the mean of its divisors is an integer number (180579497553).

Almost surely, 21341006681001 is an apocalyptic number.

It is an amenable number.

1341006681001 is a deficient number, since it is larger than the sum of its proper divisors (103629299423).

1341006681001 is a wasteful number, since it uses less digits than its factorization.

1341006681001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33924251.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 1341006681001 in words is "one trillion, three hundred forty-one billion, six million, six hundred eighty-one thousand, one".

Divisors: 1 13 3041 39533 33921197 440975561 103154360077 1341006681001