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1316041144561 = 111325136665677
BaseRepresentation
bin10011001001101010001…
…010100011100011110001
311122210221011121000202101
4103021222022203203301
5133030223013111221
62444325253020401
7164036504104603
oct23115212434361
94583834530671
101316041144561
11468147a0a560
12193083624701
1397143558160
14479a7b8b173
1524377346d91
hex1326a2a38f1

1316041144561 has 16 divisors (see below), whose sum is σ = 1552278143808. Its totient is φ = 1099970280000.

The previous prime is 1316041144553. The next prime is 1316041144589. The reversal of 1316041144561 is 1654411406131.

It is a cyclic number.

It is not a de Polignac number, because 1316041144561 - 23 = 1316041144553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1316041144561.

It is not an unprimeable number, because it can be changed into a prime (1316041124561) 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 15 ways as a sum of consecutive naturals, for example, 18296946 + ... + 18368731.

It is an arithmetic number, because the mean of its divisors is an integer number (97017383988).

Almost surely, 21316041144561 is an apocalyptic number.

1316041144561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1316041144561 is a deficient number, since it is larger than the sum of its proper divisors (236236999247).

1316041144561 is a wasteful number, since it uses less digits than its factorization.

1316041144561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36665952.

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 1316041144561 in words is "one trillion, three hundred sixteen billion, forty-one million, one hundred forty-four thousand, five hundred sixty-one".

Divisors: 1 11 13 143 251 2761 3263 35893 36665677 403322447 476653801 5243191811 9203084927 101233934197 119640104051 1316041144561