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1311320141 = 2577336961
BaseRepresentation
bin100111000101001…
…0010100001001101
310101101110222001122
41032022102201031
510141144221031
6334042050325
744332015535
oct11612224115
93341428048
101311320141
1161322a25a
123071a99a5
1317b89c6a1
14c622a4c5
157a1c947b
hex4e29284d

1311320141 has 8 divisors (see below), whose sum is σ = 1318407864. Its totient is φ = 1304248320.

The previous prime is 1311320099. The next prime is 1311320191. The reversal of 1311320141 is 1410231131.

It can be written as a sum of positive squares in 4 ways, for example, as 1132322500 + 178997641 = 33650^2 + 13379^2 .

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 1311320141 - 26 = 1311320077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311320191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184901 + ... + 191861.

It is an arithmetic number, because the mean of its divisors is an integer number (164800983).

Almost surely, 21311320141 is an apocalyptic number.

It is an amenable number.

1311320141 is a deficient number, since it is larger than the sum of its proper divisors (7087723).

1311320141 is an equidigital number, since it uses as much as digits as its factorization.

1311320141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1311320141 is about 36212.1546031163. The cubic root of 1311320141 is about 1094.5516094681.

Adding to 1311320141 its reverse (1410231131), we get a palindrome (2721551272).

The spelling of 1311320141 in words is "one billion, three hundred eleven million, three hundred twenty thousand, one hundred forty-one".

Divisors: 1 257 733 6961 188381 1788977 5102413 1311320141