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10523000671 = 971274212029
BaseRepresentation
bin10011100110011100…
…00011111101011111
31000011100212211011121
421303032003331133
5133022342010141
64500104231411
7521525013151
oct116316037537
930140784147
1010523000671
11450aa61177
12205816b567
13cb9166721
1471b7c4ad1
15418c6b1d1
hex273383f5f

10523000671 has 16 divisors (see below), whose sum is σ = 10745943040. Its totient is φ = 10302888960.

The previous prime is 10523000617. The next prime is 10523000693. The reversal of 10523000671 is 17600032501.

It is a 10-Lehmer number, since φ(10523000671) divides (10523000671-1)10.

It is a cyclic number.

It is not a de Polignac number, because 10523000671 - 223 = 10514612063 is a prime.

It is a super-3 number, since 3×105230006713 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523000171) 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, 5185285 + ... + 5187313.

It is an arithmetic number, because the mean of its divisors is an integer number (671621440).

Almost surely, 210523000671 is an apocalyptic number.

10523000671 is a deficient number, since it is larger than the sum of its proper divisors (222942369).

10523000671 is a wasteful number, since it uses less digits than its factorization.

10523000671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674.

The product of its (nonzero) digits is 1260, while the sum is 25.

The spelling of 10523000671 in words is "ten billion, five hundred twenty-three million, six hundred seventy-one", and thus it is an aban number.

Divisors: 1 97 127 421 2029 12319 40837 53467 196813 257683 854209 5186299 24995251 82858273 108484543 10523000671