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131300330202 = 2327294462789
BaseRepresentation
bin111101001001000011…
…1000000101011011010
3110112220112201212022200
41322102013000223122
54122400341031302
6140152445431030
712325513251336
oct1722207005332
9415815655280
10131300330202
1150758682498
122154426b476
13c4c63c6ba2
1464d80747c6
1536370bb81c
hex1e921c0ada

131300330202 has 12 divisors (see below), whose sum is σ = 284484048810. Its totient is φ = 43766776728.

The previous prime is 131300330179. The next prime is 131300330221. The reversal of 131300330202 is 202033003131.

131300330202 is a `hidden beast` number, since 1 + 3 + 130 + 0 + 330 + 202 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128644886241 + 2655443961 = 358671^2 + 51531^2 .

It is a super-2 number, since 2×1313003302022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7294462789 = 131300330202 / (1 + 3 + 1 + 3 + 0 + 0 + 3 + 3 + 0 + 2 + 0 + 2).

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 5 ways as a sum of consecutive naturals, for example, 3647231377 + ... + 3647231412.

Almost surely, 2131300330202 is an apocalyptic number.

131300330202 is an abundant number, since it is smaller than the sum of its proper divisors (153183718608).

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

131300330202 is a wasteful number, since it uses less digits than its factorization.

131300330202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294462797 (or 7294462794 counting only the distinct ones).

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

Adding to 131300330202 its reverse (202033003131), we get a palindrome (333333333333).

The spelling of 131300330202 in words is "one hundred thirty-one billion, three hundred million, three hundred thirty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 7294462789 14588925578 21883388367 43766776734 65650165101 131300330202