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105511101341 = 1753117104441
BaseRepresentation
bin110001001000011110…
…0111010001110011101
3101002100020202022001012
41202100330322032131
53212041320220331
6120245433025005
710423443364232
oct1422074721635
9332306668035
10105511101341
11408242a2108
1218547555165
139c4650c359
14516cd67789
152b27e9d82b
hex1890f3a39d

105511101341 has 8 divisors (see below), whose sum is σ = 113825517624. Its totient is φ = 97430894080.

The previous prime is 105511101299. The next prime is 105511101373. The reversal of 105511101341 is 143101115501.

It can be written as a sum of positive squares in 4 ways, for example, as 77637463225 + 27873638116 = 278635^2 + 166954^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105511101341 is a prime.

It is a super-2 number, since 2×1055111013412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105511101391) 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 7 ways as a sum of consecutive naturals, for example, 58551320 + ... + 58553121.

It is an arithmetic number, because the mean of its divisors is an integer number (14228189703).

Almost surely, 2105511101341 is an apocalyptic number.

It is an amenable number.

105511101341 is a deficient number, since it is larger than the sum of its proper divisors (8314416283).

105511101341 is a wasteful number, since it uses less digits than its factorization.

105511101341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117104511.

The product of its (nonzero) digits is 300, while the sum is 23.

Adding to 105511101341 its reverse (143101115501), we get a palindrome (248612216842).

The spelling of 105511101341 in words is "one hundred five billion, five hundred eleven million, one hundred one thousand, three hundred forty-one".

Divisors: 1 17 53 901 117104441 1990775497 6206535373 105511101341