Search a number
-
+
1310312405 = 57311331769
BaseRepresentation
bin100111000011001…
…1100011111010101
310101022120202201002
41032012130133111
510140414444110
6334004313045
744320320533
oct11606343725
93338522632
101310312405
11612701116
123069a2785
1317b608aac
14c6047153
157a07aaa5
hex4e19c7d5

1310312405 has 16 divisors (see below), whose sum is σ = 1608070320. Its totient is φ = 1024708608.

The previous prime is 1310312359. The next prime is 1310312429. The reversal of 1310312405 is 5042130131.

It can be written as a sum of positive squares in 8 ways, for example, as 286760356 + 1023552049 = 16934^2 + 31993^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310312405 - 28 = 1310312149 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 25361 + ... + 57129.

It is an arithmetic number, because the mean of its divisors is an integer number (100504395).

Almost surely, 21310312405 is an apocalyptic number.

It is an amenable number.

1310312405 is a deficient number, since it is larger than the sum of its proper divisors (297757915).

1310312405 is a wasteful number, since it uses less digits than its factorization.

1310312405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31960.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1310312405 is about 36198.2375952200. The cubic root of 1310312405 is about 1094.2711537401.

Adding to 1310312405 its reverse (5042130131), we get a palindrome (6352442536).

The spelling of 1310312405 in words is "one billion, three hundred ten million, three hundred twelve thousand, four hundred five".

Divisors: 1 5 73 113 365 565 8249 31769 41245 158845 2319137 3589897 11595685 17949485 262062481 1310312405