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330117116 = 22726127611
BaseRepresentation
bin10011101011010…
…010111111111100
3212000011200112212
4103223102333330
51134002221431
652431315552
711115643400
oct2353227774
9760150485
10330117116
1115a38496a
129267bbb8
1353514194
1431bb3100
151deac72b
hex13ad2ffc

330117116 has 36 divisors (see below), whose sum is σ = 683065656. Its totient is φ = 139154400.

The previous prime is 330117113. The next prime is 330117119. The reversal of 330117116 is 611711033.

330117116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (330117113) and next prime (330117119).

It is a junction number, because it is equal to n+sod(n) for n = 330117091 and 330117100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330117113) 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 11 ways as a sum of consecutive naturals, for example, 1850 + ... + 25761.

It is an arithmetic number, because the mean of its divisors is an integer number (18974046).

Almost surely, 2330117116 is an apocalyptic number.

It is an amenable number.

330117116 is an abundant number, since it is smaller than the sum of its proper divisors (352948540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330117116 is a wasteful number, since it uses less digits than its factorization.

330117116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27690 (or 27681 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 330117116 is about 18169.1253504400. The cubic root of 330117116 is about 691.1240629409.

Adding to 330117116 its reverse (611711033), we get a palindrome (941828149).

The spelling of 330117116 in words is "three hundred thirty million, one hundred seventeen thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 5978 11956 27611 55222 110444 193277 386554 773108 1352939 1684271 2705878 3368542 5411756 6737084 11789897 23579794 47159588 82529279 165058558 330117116