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116314211124 = 22324617008569
BaseRepresentation
bin110110001010011011…
…1100000001100110100
3102010020010201010200100
41230110313200030310
53401202414223444
6125233425114100
711255242324146
oct1542467401464
9363203633610
10116314211124
1145368381411
121a661488930
13ac786cacc7
1458b5a24c96
15305b5e9e69
hex1b14de0334

116314211124 has 36 divisors (see below), whose sum is σ = 294654299940. Its totient is φ = 38687295360.

The previous prime is 116314211107. The next prime is 116314211141. The reversal of 116314211124 is 421112413611.

It is a happy number.

116314211124 is a `hidden beast` number, since 1 + 1 + 631 + 4 + 2 + 1 + 1 + 1 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (116314211107) and next prime (116314211141).

It can be written as a sum of positive squares in 2 ways, for example, as 86912936100 + 29401275024 = 294810^2 + 171468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 3487689 + ... + 3520880.

It is an arithmetic number, because the mean of its divisors is an integer number (8184841665).

Almost surely, 2116314211124 is an apocalyptic number.

It is an amenable number.

116314211124 is an abundant number, since it is smaller than the sum of its proper divisors (178340088816).

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

116314211124 is a wasteful number, since it uses less digits than its factorization.

116314211124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009040 (or 7009035 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 116314211124 its reverse (421112413611), we get a palindrome (537426624735).

The spelling of 116314211124 in words is "one hundred sixteen billion, three hundred fourteen million, two hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 461 922 1383 1844 2766 4149 5532 8298 16596 7008569 14017138 21025707 28034276 42051414 63077121 84102828 126154242 252308484 3230950309 6461900618 9692850927 12923801236 19385701854 29078552781 38771403708 58157105562 116314211124