Search a number
-
+
1310315325 = 352117321757
BaseRepresentation
bin100111000011001…
…1101001100111101
310101022120220201020
41032012131030331
510140420042300
6334004334353
744320332204
oct11606351475
93338526636
101310315325
11612703330
123069a43b9
1317b60a217
14c604823b
157a07b8a0
hex4e19d33d

1310315325 has 48 divisors (see below), whose sum is σ = 2395816896. Its totient is φ = 626572800.

The previous prime is 1310315311. The next prime is 1310315327. The reversal of 1310315325 is 5235130131.

It is not a de Polignac number, because 1310315325 - 215 = 1310282557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310315295 and 1310315304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310315327) 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, 49347 + ... + 71103.

It is an arithmetic number, because the mean of its divisors is an integer number (49912852).

Almost surely, 21310315325 is an apocalyptic number.

1310315325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1310315325 is a deficient number, since it is larger than the sum of its proper divisors (1085501571).

1310315325 is a wasteful number, since it uses less digits than its factorization.

1310315325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21854 (or 21849 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1310315325 is about 36198.2779286529. The cubic root of 1310315325 is about 1094.2719665919.

Adding to 1310315325 its reverse (5235130131), we get a palindrome (6545445456).

The spelling of 1310315325 in words is "one billion, three hundred ten million, three hundred fifteen thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 73 75 165 219 275 365 803 825 1095 1825 2409 4015 5475 12045 20075 21757 60225 65271 108785 239327 326355 543925 717981 1196635 1588261 1631775 3589905 4764783 5983175 7941305 17470871 17949525 23823915 39706525 52412613 87354355 119119575 262063065 436771775 1310315325