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323116137 = 3238239391
BaseRepresentation
bin10011010000100…
…101110001101001
3211112000000000100
4103100211301221
51130204204022
652021300013
711002304361
oct2320456151
9745000010
10323116137
11156432a33
1290264609
1351c326a6
1430cad9a1
151d5781ac
hex13425c69

323116137 has 12 divisors (see below), whose sum is σ = 466895104. Its totient is φ = 215331480.

The previous prime is 323116133. The next prime is 323116151. The reversal of 323116137 is 731611323.

323116137 is a `hidden beast` number, since 32 + 3 + 11 + 613 + 7 = 666.

It is not a de Polignac number, because 323116137 - 22 = 323116133 is a prime.

It is a super-3 number, since 3×3231161373 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 323116137.

It is not an unprimeable number, because it can be changed into a prime (323116133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29712 + ... + 39102.

Almost surely, 2323116137 is an apocalyptic number.

It is an amenable number.

323116137 is a deficient number, since it is larger than the sum of its proper divisors (143778967).

323116137 is a wasteful number, since it uses less digits than its factorization.

323116137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13220 (or 13217 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 323116137 is about 17975.4314829992. The cubic root of 323116137 is about 686.2034270204.

The spelling of 323116137 in words is "three hundred twenty-three million, one hundred sixteen thousand, one hundred thirty-seven".

Divisors: 1 3 9 3823 9391 11469 28173 34407 84519 35901793 107705379 323116137