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1014164125 = 53132812221
BaseRepresentation
bin111100011100101…
…110101010011101
32121200022212122021
4330130232222131
54034111223000
6244345020141
734063152502
oct7434565235
92550285567
101014164125
11480518577
12243784651
13132159220
14989974a9
155e07d11a
hex3c72ea9d

1014164125 has 32 divisors (see below), whose sum is σ = 1368503136. Its totient is φ = 745920000.

The previous prime is 1014164057. The next prime is 1014164131. The reversal of 1014164125 is 5214614101.

It can be written as a sum of positive squares in 16 ways, for example, as 729702169 + 284461956 = 27013^2 + 16866^2 .

It is not a de Polignac number, because 1014164125 - 211 = 1014162077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 1014164125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455515 + ... + 457735.

It is an arithmetic number, because the mean of its divisors is an integer number (42765723).

Almost surely, 21014164125 is an apocalyptic number.

It is an amenable number.

1014164125 is a deficient number, since it is larger than the sum of its proper divisors (354339011).

1014164125 is a wasteful number, since it uses less digits than its factorization.

1014164125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1014164125 is about 31845.9436192429. The cubic root of 1014164125 is about 1004.6992573887.

Adding to 1014164125 its reverse (5214614101), we get a palindrome (6228778226).

The spelling of 1014164125 in words is "one billion, fourteen million, one hundred sixty-four thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 281 325 1405 1625 2221 3653 7025 11105 18265 28873 35125 55525 91325 144365 277625 456625 624101 721825 3120505 3609125 8113313 15602525 40566565 78012625 202832825 1014164125