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13130114220 = 22325174290887
BaseRepresentation
bin11000011101001110…
…11010010010101100
31020220001121220121200
430032213122102230
5203342302123340
610010515525500
7643243062246
oct141647322254
936801556550
1013130114220
115628675173
1226652b9890
13131332a472
148c7b59096
1551caa4330
hex30e9da4ac

13130114220 has 72 divisors (see below), whose sum is σ = 42170847264. Its totient is φ = 3295400448.

The previous prime is 13130114219. The next prime is 13130114299. The reversal of 13130114220 is 2241103131.

13130114220 is a `hidden beast` number, since 131 + 301 + 14 + 220 = 666.

13130114220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13130114193 and 13130114202.

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 23 ways as a sum of consecutive naturals, for example, 2142384 + ... + 2148503.

It is an arithmetic number, because the mean of its divisors is an integer number (585706212).

Almost surely, 213130114220 is an apocalyptic number.

13130114220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130114220 is an abundant number, since it is smaller than the sum of its proper divisors (29040733044).

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

13130114220 is a wasteful number, since it uses less digits than its factorization.

13130114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290919 (or 4290914 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13130114220 its reverse (2241103131), we get a palindrome (15371217351).

The spelling of 13130114220 in words is "thirteen billion, one hundred thirty million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 4290887 8581774 12872661 17163548 21454435 25745322 38617983 42908870 51490644 64363305 72945079 77235966 85817740 128726610 145890158 154471932 193089915 218835237 257453220 291780316 364725395 386179830 437670474 656505711 729450790 772359660 875340948 1094176185 1313011422 1458901580 2188352370 2626022844 3282528555 4376704740 6565057110 13130114220