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130022330000013 = 32111474189095507
BaseRepresentation
bin11101100100000100101110…
…110010101110001010001101
3122001101000100201211211011100
4131210010232302232022031
5114020241212440000023
61140311233411213313
736246542355445353
oct3544045662561215
9561330321754140
10130022330000013
113847a1846787a0
12126bb2472a7239
13577208c8a9c49
142417185ac17d3
1510072a4b5ec43
hex76412ecae28d

130022330000013 has 24 divisors (see below), whose sum is σ = 204897572714016. Its totient is φ = 78796065506400.

The previous prime is 130022330000011. The next prime is 130022330000077. The reversal of 130022330000013 is 310000033220031.

130022330000013 is a `hidden beast` number, since 1 + 300 + 22 + 330 + 0 + 0 + 0 + 0 + 13 = 666.

It is not a de Polignac number, because 130022330000013 - 21 = 130022330000011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130022330000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43088395 + ... + 46007112.

It is an arithmetic number, because the mean of its divisors is an integer number (8537398863084).

Almost surely, 2130022330000013 is an apocalyptic number.

It is an amenable number.

130022330000013 is a deficient number, since it is larger than the sum of its proper divisors (74875242714003).

130022330000013 is a wasteful number, since it uses less digits than its factorization.

130022330000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89110265 (or 89110262 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130022330000013 its reverse (310000033220031), we get a palindrome (440022363220044).

The spelling of 130022330000013 in words is "one hundred thirty trillion, twenty-two billion, three hundred thirty million, thirteen", and thus it is an aban number.

Divisors: 1 3 9 11 33 99 14741 44223 132669 162151 486453 1459359 89095507 267286521 801859563 980050577 2940151731 8820455193 1313356868687 3940070606061 11820211818183 14446925555557 43340776666671 130022330000013