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1312401321 = 327112382339
BaseRepresentation
bin100111000111001…
…1010011110101001
310101110111220011100
41032032122132221
510141433320241
6334121152013
744344140630
oct11616323651
93343456140
101312401321
116138a85a0
1230762b609
1317bb8a83a
14c642c517
157a33e9b6
hex4e39a7a9

1312401321 has 48 divisors (see below), whose sum is σ = 2466247680. Its totient is φ = 652116960.

The previous prime is 1312401319. The next prime is 1312401353. The reversal of 1312401321 is 1231042131.

It is not a de Polignac number, because 1312401321 - 21 = 1312401319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1312401294 and 1312401303.

It is not an unprimeable number, because it can be changed into a prime (1312401371) 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 47 ways as a sum of consecutive naturals, for example, 25231 + ... + 57108.

It is an arithmetic number, because the mean of its divisors is an integer number (51380160).

Almost surely, 21312401321 is an apocalyptic number.

1312401321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1312401321 is a deficient number, since it is larger than the sum of its proper divisors (1153846359).

1312401321 is a wasteful number, since it uses less digits than its factorization.

1312401321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82386 (or 82383 counting only the distinct ones).

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

The square root of 1312401321 is about 36227.0799402878. The cubic root of 1312401321 is about 1094.8523451370.

Adding to 1312401321 its reverse (1231042131), we get a palindrome (2543443452).

The spelling of 1312401321 in words is "one billion, three hundred twelve million, four hundred one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 161 207 231 253 483 693 759 1449 1771 2277 5313 15939 82339 247017 576373 741051 905729 1729119 1893797 2717187 5187357 5681391 6340103 8151561 13256579 17044173 19020309 20831767 39769737 57060927 62495301 119309211 145822369 187485903 437467107 1312401321