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1311442041101 = 31991229318617
BaseRepresentation
bin10011000101011000000…
…010010111100100001101
311122101001122120100212012
4103011120002113210031
5132441313130303401
62442245042151005
7163514520264653
oct23053002274415
94571048510765
101311442041101
114661a7930005
121921bb352465
139688c792c6a
144768d044dd3
15241a86ce8bb
hex1315809790d

1311442041101 has 16 divisors (see below), whose sum is σ = 1355776462848. Its totient is φ = 1267235798400.

The previous prime is 1311442041053. The next prime is 1311442041139. The reversal of 1311442041101 is 1011402441131.

It is a cyclic number.

It is not a de Polignac number, because 1311442041101 - 26 = 1311442041037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311442041001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70433945 + ... + 70452561.

It is an arithmetic number, because the mean of its divisors is an integer number (84736028928).

Almost surely, 21311442041101 is an apocalyptic number.

It is an amenable number.

1311442041101 is a deficient number, since it is larger than the sum of its proper divisors (44334421747).

1311442041101 is a wasteful number, since it uses less digits than its factorization.

1311442041101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21932.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 1311442041101 its reverse (1011402441131), we get a palindrome (2322844482232).

The spelling of 1311442041101 in words is "one trillion, three hundred eleven billion, four hundred forty-two million, forty-one thousand, one hundred one".

Divisors: 1 31 991 2293 18617 30721 71083 577127 2272363 18449447 42688781 70443253 571932857 1323352211 42304581971 1311442041101