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131433012 = 223211332309
BaseRepresentation
bin1111101010110…
…00001000110100
3100011022111012100
413311120020310
5232121324022
621013022100
73154106424
oct765301064
9304274170
10131433012
1168210627
1238024930
13212cab19
1413654484
15b8131ac
hex7d58234

131433012 has 36 divisors (see below), whose sum is σ = 335183940. Its totient is φ = 43421952.

The previous prime is 131433007. The next prime is 131433023. The reversal of 131433012 is 210334131.

It can be written as a sum of positive squares in 2 ways, for example, as 56160036 + 75272976 = 7494^2 + 8676^2 .

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12087 + ... + 20222.

It is an arithmetic number, because the mean of its divisors is an integer number (9310665).

Almost surely, 2131433012 is an apocalyptic number.

131433012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131433012 is an abundant number, since it is smaller than the sum of its proper divisors (203750928).

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

131433012 is a wasteful number, since it uses less digits than its factorization.

131433012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32432 (or 32427 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131433012 is about 11464.4237535081. The cubic root of 131433012 is about 508.4342753467.

Adding to 131433012 its reverse (210334131), we get a palindrome (341767143).

The spelling of 131433012 in words is "one hundred thirty-one million, four hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 32309 64618 96927 129236 193854 290781 387708 581562 1163124 3650917 7301834 10952751 14603668 21905502 32858253 43811004 65716506 131433012