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1101300110313 = 313731672316337
BaseRepresentation
bin10000000001101010100…
…110100001001111101001
310220021122111110012210120
4100001222212201033221
5121020430312012223
62201532535233453
7142365146324424
oct20015246411751
93807574405716
101101300110313
11395071224127
12159533218889
137cb10251510
143b4360169bb
151d9a9bb3be3
hex1006a9a13e9

1101300110313 has 32 divisors (see below), whose sum is σ = 1612615984896. Its totient is φ = 664436348928.

The previous prime is 1101300110299. The next prime is 1101300110353. The reversal of 1101300110313 is 3130110031011.

It is not a de Polignac number, because 1101300110313 - 213 = 1101300102121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101300110292 and 1101300110301.

It is not an unprimeable number, because it can be changed into a prime (1101300110353) by changing a digit.

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, 682720 + ... + 1633617.

It is an arithmetic number, because the mean of its divisors is an integer number (50394249528).

Almost surely, 21101300110313 is an apocalyptic number.

1101300110313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1101300110313 is a deficient number, since it is larger than the sum of its proper divisors (511315874583).

1101300110313 is a wasteful number, since it uses less digits than its factorization.

1101300110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316593.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1101300110313 its reverse (3130110031011), we get a palindrome (4231410141324).

The spelling of 1101300110313 in words is "one trillion, one hundred one billion, three hundred million, one hundred ten thousand, three hundred thirteen".

Divisors: 1 3 13 39 73 167 219 501 949 2171 2847 6513 12191 36573 158483 475449 2316337 6949011 30112381 90337143 169092601 386828279 507277803 1160484837 2198203813 5028767627 6594611439 15086302881 28238464367 84715393101 367100036771 1101300110313