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11830688271 = 323301398219
BaseRepresentation
bin10110000010010100…
…11111101000001111
31010112111112020022200
423001022133220033
5143212124011041
65233540412543
7566114122353
oct130112375017
933474466280
1011830688271
11502112a226
1223620a7153
13116706387c
14803347463
154939791b6
hex2c129fa0f

11830688271 has 12 divisors (see below), whose sum is σ = 17093991720. Its totient is φ = 7884716400.

The previous prime is 11830688251. The next prime is 11830688329. The reversal of 11830688271 is 17288603811.

It is a happy number.

11830688271 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11830688271 - 213 = 11830680079 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11830688231) 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 11 ways as a sum of consecutive naturals, for example, 169401 + ... + 228818.

It is an arithmetic number, because the mean of its divisors is an integer number (1424499310).

Almost surely, 211830688271 is an apocalyptic number.

11830688271 is a deficient number, since it is larger than the sum of its proper divisors (5263303449).

11830688271 is a wasteful number, since it uses less digits than its factorization.

11830688271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401526 (or 401523 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11830688271 in words is "eleven billion, eight hundred thirty million, six hundred eighty-eight thousand, two hundred seventy-one".

Divisors: 1 3 9 3301 9903 29709 398219 1194657 3583971 1314520919 3943562757 11830688271