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135320420443 = 132233110111119
BaseRepresentation
bin111111000000110111…
…0011100000001011011
3110221021201020121101211
41332001232130001123
54204114011423233
6142055414123551
712530236411135
oct1760156340133
9427251217354
10135320420443
115243093881a
12222866505b7
13c9b7230b00
146799d38055
1537beeae5cd
hex1f81b9c05b

135320420443 has 48 divisors (see below), whose sum is σ = 159410626560. Its totient is φ = 114470928000.

The previous prime is 135320420437. The next prime is 135320420447. The reversal of 135320420443 is 344024023531.

It is a happy number.

It is not a de Polignac number, because 135320420443 - 213 = 135320412251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135320420447) 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 47 ways as a sum of consecutive naturals, for example, 12164638 + ... + 12175756.

It is an arithmetic number, because the mean of its divisors is an integer number (3321054720).

Almost surely, 2135320420443 is an apocalyptic number.

135320420443 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

135320420443 is a deficient number, since it is larger than the sum of its proper divisors (24090206117).

135320420443 is a wasteful number, since it uses less digits than its factorization.

135320420443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11300 (or 11287 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 135320420443 its reverse (344024023531), we get a palindrome (479344443974).

The spelling of 135320420443 in words is "one hundred thirty-five billion, three hundred twenty million, four hundred twenty thousand, four hundred forty-three".

Divisors: 1 13 23 31 101 169 299 403 713 1313 2323 3131 3887 5239 9269 11119 17069 30199 40703 72013 120497 144547 255737 344689 392587 529139 936169 1123019 1879111 3324581 4480957 7927847 12170197 14599247 25829437 34813589 43219553 58252441 103062011 189790211 335782681 452576657 800712547 1339806143 4365174853 5883496541 10409263111 135320420443