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3116305241 = 717127720507
BaseRepresentation
bin1011100110111111…
…0000101101011001
322001011212201010122
42321233300231121
522340233231431
61233121123025
7140140105010
oct27157605531
98034781118
103116305241
11135a089285
1272b789475
133a88167ca
14217c3da77
151338b9a7b
hexb9bf0b59

3116305241 has 16 divisors (see below), whose sum is σ = 3774128256. Its totient is φ = 2511902976.

The previous prime is 3116305223. The next prime is 3116305261. The reversal of 3116305241 is 1425036113.

It is a cyclic number.

It is not a de Polignac number, because 3116305241 - 26 = 3116305177 is a prime.

It is a super-3 number, since 3×31163052413 (a number of 29 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 self number, because there is not a number n which added to its sum of digits gives 3116305241.

It is not an unprimeable number, because it can be changed into a prime (3116305201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141710 + ... + 162216.

It is an arithmetic number, because the mean of its divisors is an integer number (235883016).

Almost surely, 23116305241 is an apocalyptic number.

It is an amenable number.

3116305241 is a deficient number, since it is larger than the sum of its proper divisors (657823015).

3116305241 is a wasteful number, since it uses less digits than its factorization.

3116305241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21808.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 3116305241 is about 55823.8769792998. The cubic root of 3116305241 is about 1460.6516827077.

The spelling of 3116305241 in words is "three billion, one hundred sixteen million, three hundred five thousand, two hundred forty-one".

Divisors: 1 7 17 119 1277 8939 20507 21709 143549 151963 348619 2440333 26187439 183312073 445186463 3116305241