Search a number
-
+
116881137 = 341724993
BaseRepresentation
bin1101111011101…
…11011011110001
322010221011210000
412331313123301
5214410144022
615333100213
72616321222
oct675673361
9263834700
10116881137
115aa8158a
1233187669
131b2a4449
1411747249
15a3db6ac
hex6f776f1

116881137 has 30 divisors (see below), whose sum is σ = 185512118. Its totient is φ = 73322496.

The previous prime is 116881117. The next prime is 116881189. The reversal of 116881137 is 731188611.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 38452401 + 78428736 = 6201^2 + 8856^2 .

It is not a de Polignac number, because 116881137 - 212 = 116877041 is a prime.

It is a super-2 number, since 2×1168811372 = 27322400372825538, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116881117) 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 29 ways as a sum of consecutive naturals, for example, 20913 + ... + 25905.

Almost surely, 2116881137 is an apocalyptic number.

116881137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

116881137 is a deficient number, since it is larger than the sum of its proper divisors (68630981).

116881137 is an equidigital number, since it uses as much as digits as its factorization.

116881137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5013 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 116881137 is about 10811.1579860809. The cubic root of 116881137 is about 488.9316401110.

The spelling of 116881137 in words is "one hundred sixteen million, eight hundred eighty-one thousand, one hundred thirty-seven".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 4993 7803 14979 23409 44937 84881 134811 254643 404433 763929 1442977 2291787 4328931 6875361 12986793 38960379 116881137