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175045013 = 11213257433
BaseRepresentation
bin10100110111011…
…11100110010101
3110012101012121122
422123233212111
5324302420023
625211453325
74223600213
oct1233574625
9405335548
10175045013
118a898a00
124a757245
132a35a740
1419367cb3
151057a2c8
hexa6ef995

175045013 has 24 divisors (see below), whose sum is σ = 208491864. Its totient is φ = 145981440.

The previous prime is 175044979. The next prime is 175045027. The reversal of 175045013 is 310540571.

It can be written as a sum of positive squares in 4 ways, for example, as 15856324 + 159188689 = 3982^2 + 12617^2 .

It is not a de Polignac number, because 175045013 - 28 = 175044757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (175045093) 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 23 ways as a sum of consecutive naturals, for example, 404045 + ... + 404477.

It is an arithmetic number, because the mean of its divisors is an integer number (8687161).

Almost surely, 2175045013 is an apocalyptic number.

175045013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

175045013 is a deficient number, since it is larger than the sum of its proper divisors (33446851).

175045013 is a wasteful number, since it uses less digits than its factorization.

175045013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 175045013 is about 13230.4577774165. The cubic root of 175045013 is about 559.3924245917.

Adding to 175045013 its reverse (310540571), we get a palindrome (485585584).

The spelling of 175045013 in words is "one hundred seventy-five million, forty-five thousand, thirteen".

Divisors: 1 11 13 121 143 257 433 1573 2827 3341 4763 5629 31097 36751 52393 61919 111281 404261 681109 1224091 1446653 13465001 15913183 175045013