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3301314132132 = 223291703170337
BaseRepresentation
bin110000000010100101101…
…001111111100010100100
3102200121021020222010120200
4300002211221333202210
5413042042404212012
611004334111030500
7460340433056442
oct60024551774244
912617236863520
103301314132132
111063096842995
1245399750b430
131ac40a9a4093
14b5ada797b92
155ad1c4853dc
hex300a5a7f8a4

3301314132132 has 18 divisors (see below), whose sum is σ = 8344988500758. Its totient is φ = 1100438044032.

The previous prime is 3301314132131. The next prime is 3301314132187. The reversal of 3301314132132 is 2312314131033.

3301314132132 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 31 + 413 + 213 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2707788727296 + 593525404836 = 1645536^2 + 770406^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 3301314132096 and 3301314132105.

It is not an unprimeable number, because it can be changed into a prime (3301314132131) 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 5 ways as a sum of consecutive naturals, for example, 45851585133 + ... + 45851585204.

Almost surely, 23301314132132 is an apocalyptic number.

It is an amenable number.

3301314132132 is an abundant number, since it is smaller than the sum of its proper divisors (5043674368626).

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

3301314132132 is a wasteful number, since it uses less digits than its factorization.

3301314132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91703170347 (or 91703170342 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 3301314132132 its reverse (2312314131033), we get a palindrome (5613628263165).

The spelling of 3301314132132 in words is "three trillion, three hundred one billion, three hundred fourteen million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 91703170337 183406340674 275109511011 366812681348 550219022022 825328533033 1100438044044 1650657066066 3301314132132