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523105319 = 111373131109
BaseRepresentation
bin11111001011011…
…111010000100111
31100110022111121002
4133023133100213
52032403332234
6123523543515
715651215252
oct3713372047
91313274532
10523105319
11249308850
1212722ab9b
13844b4a99
144d68c099
1530dce27e
hex1f2df427

523105319 has 16 divisors (see below), whose sum is σ = 577182240. Its totient is φ = 470146560.

The previous prime is 523105309. The next prime is 523105327. The reversal of 523105319 is 913501325.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-523105319 is a prime.

It is a super-2 number, since 2×5231053192 = 547278349532183522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 523105291 and 523105300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523105309) 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, 471137 + ... + 472245.

It is an arithmetic number, because the mean of its divisors is an integer number (36073890).

Almost surely, 2523105319 is an apocalyptic number.

523105319 is a deficient number, since it is larger than the sum of its proper divisors (54076921).

523105319 is a wasteful number, since it uses less digits than its factorization.

523105319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570.

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 523105319 is about 22871.4957753095. The cubic root of 523105319 is about 805.7426984422.

The spelling of 523105319 in words is "five hundred twenty-three million, one hundred five thousand, three hundred nineteen".

Divisors: 1 11 137 313 1109 1507 3443 12199 42881 151933 347117 471691 1671263 3818287 47555029 523105319