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512820113 = 13172579029
BaseRepresentation
bin11110100100010…
…000001110010001
31022201221221221112
4132210100032101
52022240220423
6122515303105
715464620241
oct3644201621
91281857845
10512820113
11243523383
121238aaa95
1382323470
144c171b21
153004ba78
hex1e910391

512820113 has 16 divisors (see below), whose sum is σ = 587094480. Its totient is φ = 443744256.

The previous prime is 512820101. The next prime is 512820157. The reversal of 512820113 is 311028215.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 189971089 + 322849024 = 13783^2 + 17968^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-512820113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (512820163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52283 + ... + 61311.

It is an arithmetic number, because the mean of its divisors is an integer number (36693405).

Almost surely, 2512820113 is an apocalyptic number.

It is an amenable number.

512820113 is a deficient number, since it is larger than the sum of its proper divisors (74274367).

512820113 is a wasteful number, since it uses less digits than its factorization.

512820113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9316.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 512820113 is about 22645.5318550923. The cubic root of 512820113 is about 800.4269143272.

Adding to 512820113 its reverse (311028215), we get a palindrome (823848328).

The spelling of 512820113 in words is "five hundred twelve million, eight hundred twenty thousand, one hundred thirteen".

Divisors: 1 13 17 221 257 3341 4369 9029 56797 117377 153493 1995409 2320453 30165889 39447701 512820113