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131221002112 = 273133069809
BaseRepresentation
bin111101000110101100…
…0011001011110000000
3110112201000110120122021
41322031120121132000
54122220034031422
6140140533251224
712323531054164
oct1721530313600
9415630416567
10131221002112
1150717920092
1221521793b14
13c4b2b405a5
1464cb704ca4
15363014bdc7
hex1e8d619780

131221002112 has 32 divisors (see below), whose sum is σ = 269849649600. Its totient is φ = 63494031360.

The previous prime is 131221002083. The next prime is 131221002119. The reversal of 131221002112 is 211200122131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221002119) 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 3 ways as a sum of consecutive naturals, for example, 16530937 + ... + 16538872.

It is an arithmetic number, because the mean of its divisors is an integer number (8432801550).

Almost surely, 2131221002112 is an apocalyptic number.

It is an amenable number.

131221002112 is an abundant number, since it is smaller than the sum of its proper divisors (138628647488).

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

131221002112 is an equidigital number, since it uses as much as digits as its factorization.

131221002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33069854 (or 33069842 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 131221002112 its reverse (211200122131), we get a palindrome (342421124243).

The spelling of 131221002112 in words is "one hundred thirty-one billion, two hundred twenty-one million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 33069809 66139618 132279236 264558472 529116944 1025164079 1058233888 2050328158 2116467776 4100656316 4232935552 8201312632 16402625264 32805250528 65610501056 131221002112