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130135434505 = 5197360131223
BaseRepresentation
bin111100100110010101…
…1010010010100001001
3110102220100210000211121
41321030223102110021
54113004132401010
6135441113555241
712254606641066
oct1711453222411
9412810700747
10130135434505
115021007307a
122127a115b21
13c36bc73aab
146427481c6d
1535b9bb73da
hex1e4cad2509

130135434505 has 32 divisors (see below), whose sum is σ = 166916010240. Its totient is φ = 97112908800.

The previous prime is 130135434491. The next prime is 130135434599. The reversal of 130135434505 is 505434531031.

It is not a de Polignac number, because 130135434505 - 213 = 130135426313 is a prime.

It is a super-3 number, since 3×1301354345053 (a number of 34 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4152324 + ... + 4183546.

It is an arithmetic number, because the mean of its divisors is an integer number (5216125320).

Almost surely, 2130135434505 is an apocalyptic number.

It is an amenable number.

130135434505 is a deficient number, since it is larger than the sum of its proper divisors (36780575735).

130135434505 is a wasteful number, since it uses less digits than its factorization.

130135434505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31921.

The product of its (nonzero) digits is 54000, while the sum is 34.

Adding to 130135434505 its reverse (505434531031), we get a palindrome (635569965536).

The spelling of 130135434505 in words is "one hundred thirty billion, one hundred thirty-five million, four hundred thirty-four thousand, five hundred five".

Divisors: 1 5 19 73 95 365 601 1387 3005 6935 11419 31223 43873 57095 156115 219365 593237 833587 2279279 2966185 4167935 11396395 18765023 43306301 93825115 216531505 356535437 1369846679 1782677185 6849233395 26027086901 130135434505