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130431015936 = 210351361661
BaseRepresentation
bin111100101111001001…
…0110101110000000000
3110110122221222010100000
41321132102311300000
54114110320002221
6135530313200000
712265126225404
oct1713622656000
9413587863300
10130431015936
11503519a9851
1221341100000
13c3b8285650
146454825104
1535d5b01e26
hex1e5e4b5c00

130431015936 has 528 divisors, whose sum is σ = 428150978528. Its totient is φ = 39414988800.

The previous prime is 130431015901. The next prime is 130431015961. The reversal of 130431015936 is 639510134031.

It is a happy number.

130431015936 is a `hidden beast` number, since 1 + 30 + 4 + 31 + 0 + 1 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130431015936.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 197323446 + ... + 197324106.

Almost surely, 2130431015936 is an apocalyptic number.

130431015936 is a gapful number since it is divisible by the number (16) 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 130431015936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214075489264).

130431015936 is an abundant number, since it is smaller than the sum of its proper divisors (297719962592).

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

130431015936 is an equidigital number, since it uses as much as digits as its factorization.

130431015936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 130431015936 its reverse (639510134031), we get a palindrome (769941149967).

The spelling of 130431015936 in words is "one hundred thirty billion, four hundred thirty-one million, fifteen thousand, nine hundred thirty-six".