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131403330432 = 27331119118097
BaseRepresentation
bin111101001100000111…
…1111011001110000000
3110120011201112211002000
41322120033323032000
54123103223033212
6140211005224000
712331203610503
oct1723017731600
9416151484060
10131403330432
1150800833050
1221572862000
13c51184b17a
146507a0713a
1536411651dc
hex1e983fb380

131403330432 has 256 divisors, whose sum is σ = 425317478400. Its totient is φ = 39608524800.

The previous prime is 131403330391. The next prime is 131403330433. The reversal of 131403330432 is 234033304131.

131403330432 is a `hidden beast` number, since 131 + 40 + 33 + 30 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131403330396 and 131403330405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403330433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7252008 + ... + 7270104.

It is an arithmetic number, because the mean of its divisors is an integer number (1661396400).

Almost surely, 2131403330432 is an apocalyptic number.

131403330432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131403330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212658739200).

131403330432 is an abundant number, since it is smaller than the sum of its proper divisors (293914147968).

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

131403330432 is a wasteful number, since it uses less digits than its factorization.

131403330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18322 (or 18304 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 131403330432 its reverse (234033304131), we get a palindrome (365436634563).

The spelling of 131403330432 in words is "one hundred thirty-one billion, four hundred three million, three hundred thirty thousand, four hundred thirty-two".