Search a number
-
+
1312312321 = 2997466517
BaseRepresentation
bin100111000111000…
…0100110000000001
310101110100101002001
41032032010300001
510141422443241
6334115224001
744343320305
oct11616046001
93343311061
101312312321
11613847741
123075a8001
1317bb59188
14c6407d05
157a323431
hex4e384c01

1312312321 has 8 divisors (see below), whose sum is σ = 1371562920. Its totient is φ = 1253995008.

The previous prime is 1312312259. The next prime is 1312312327. The reversal of 1312312321 is 1232132131.

It can be written as a sum of positive squares in 4 ways, for example, as 497780721 + 814531600 = 22311^2 + 28540^2 .

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 1312312321 - 223 = 1303923713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1312312327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230446 + ... + 236071.

It is an arithmetic number, because the mean of its divisors is an integer number (171445365).

Almost surely, 21312312321 is an apocalyptic number.

It is an amenable number.

1312312321 is a deficient number, since it is larger than the sum of its proper divisors (59250599).

1312312321 is an equidigital number, since it uses as much as digits as its factorization.

1312312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466643.

The product of its digits is 216, while the sum is 19.

The square root of 1312312321 is about 36225.8515565887. The cubic root of 1312312321 is about 1094.8275955781.

Adding to 1312312321 its reverse (1232132131), we get a palindrome (2544444452).

The spelling of 1312312321 in words is "one billion, three hundred twelve million, three hundred twelve thousand, three hundred twenty-one".

Divisors: 1 29 97 2813 466517 13528993 45252149 1312312321