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1311340401 = 3372991187
BaseRepresentation
bin100111000101001…
…0111011101110001
310101101111222212000
41032022113131301
510141200343101
6334042324213
744332131600
oct11612273561
93341458760
101311340401
116132434a8
123071b9669
1317b8a8987
14c6233a37
157a1d0486
hex4e297771

1311340401 has 24 divisors (see below), whose sum is σ = 2259908640. Its totient is φ = 749336616.

The previous prime is 1311340367. The next prime is 1311340403. The reversal of 1311340401 is 1040431131.

1311340401 is a `hidden beast` number, since 131 + 134 + 0 + 401 = 666.

It is not a de Polignac number, because 1311340401 - 29 = 1311339889 is a prime.

It is a super-2 number, since 2×13113404012 = 3439227294589681602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311340403) 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 23 ways as a sum of consecutive naturals, for example, 494271 + ... + 496916.

It is an arithmetic number, because the mean of its divisors is an integer number (94162860).

Almost surely, 21311340401 is an apocalyptic number.

It is an amenable number.

1311340401 is a deficient number, since it is larger than the sum of its proper divisors (948568239).

1311340401 is an equidigital number, since it uses as much as digits as its factorization.

1311340401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991210 (or 991197 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1311340401 is about 36212.4343423637. The cubic root of 1311340401 is about 1094.5572464088.

Adding to 1311340401 its reverse (1040431131), we get a palindrome (2351771532).

The spelling of 1311340401 in words is "one billion, three hundred eleven million, three hundred forty thousand, four hundred one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 991187 2973561 6938309 8920683 20814927 26762049 48568163 62444781 145704489 187334343 437113467 1311340401