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131300330220 = 22325729446279
BaseRepresentation
bin111101001001000011…
…1000000101011101100
3110112220112201212100100
41322102013000223230
54122400341031340
6140152445431100
712325513251363
oct1722207005354
9415815655310
10131300330220
1150758682504
122154426b490
13c4c63c6bb7
1464d80747da
1536370bb830
hex1e921c0aec

131300330220 has 36 divisors (see below), whose sum is σ = 398277668880. Its totient is φ = 35013421344.

The previous prime is 131300330179. The next prime is 131300330221. The reversal of 131300330220 is 22033003131.

131300330220 is a `hidden beast` number, since 1 + 31 + 300 + 330 + 2 + 2 + 0 = 666.

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

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 = 131300330193 and 131300330202.

It is not an unprimeable number, because it can be changed into a prime (131300330221) by changing a digit.

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, 364722960 + ... + 364723319.

It is an arithmetic number, because the mean of its divisors is an integer number (11063268580).

Almost surely, 2131300330220 is an apocalyptic number.

131300330220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131300330220 is an abundant number, since it is smaller than the sum of its proper divisors (266977338660).

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

131300330220 is a wasteful number, since it uses less digits than its factorization.

131300330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729446294 (or 729446289 counting only the distinct ones).

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

Adding to 131300330220 its reverse (22033003131), we get a palindrome (153333333351).

The spelling of 131300330220 in words is "one hundred thirty-one billion, three hundred million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 729446279 1458892558 2188338837 2917785116 3647231395 4376677674 6565016511 7294462790 8753355348 10941694185 13130033022 14588925580 21883388370 26260066044 32825082555 43766776740 65650165110 131300330220