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1314520125 = 35331731549
BaseRepresentation
bin100111001011001…
…1111110000111101
310101121111112121120
41032112133300331
510143004121000
6334234421153
744401144122
oct11626376075
93347445546
101314520125
11615015476
123082917b9
1317c450079
14c6820749
157a60c6a0
hex4e59fc3d

1314520125 has 64 divisors (see below), whose sum is σ = 2290329600. Its totient is φ = 668736000.

The previous prime is 1314520079. The next prime is 1314520133. The reversal of 1314520125 is 5210254131.

It is a happy number.

It is not a de Polignac number, because 1314520125 - 211 = 1314518077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1314520095 and 1314520104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 847851 + ... + 849399.

It is an arithmetic number, because the mean of its divisors is an integer number (35786400).

Almost surely, 21314520125 is an apocalyptic number.

1314520125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1314520125 is a deficient number, since it is larger than the sum of its proper divisors (975809475).

1314520125 is a wasteful number, since it uses less digits than its factorization.

1314520125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1314520125 is about 36256.3115195134. The cubic root of 1314520125 is about 1095.4412224931.

Adding to 1314520125 its reverse (5210254131), we get a palindrome (6524774256).

The spelling of 1314520125 in words is "one billion, three hundred fourteen million, five hundred twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 31 73 75 93 125 155 219 365 375 465 775 1095 1549 1825 2263 2325 3875 4647 5475 6789 7745 9125 11315 11625 23235 27375 33945 38725 48019 56575 113077 116175 144057 169725 193625 240095 282875 339231 565385 580875 720285 848625 1200475 1696155 2826925 3505387 3601425 6002375 8480775 10516161 14134625 17526935 18007125 42403875 52580805 87634675 262904025 438173375 1314520125