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105114102353 = 132621976937
BaseRepresentation
bin110000111100101001…
…0011110101001010001
3101001022120201122210222
41201321102132221101
53210233202233403
6120142212002425
710410553061621
oct1417122365121
9331276648728
10105114102353
1140640196977
1218456600415
139bb21aba00
145132344881
152b031ce338
hex187949ea51

105114102353 has 6 divisors (see below), whose sum is σ = 113821779654. Its totient is φ = 97028402016.

The previous prime is 105114102343. The next prime is 105114102389. The reversal of 105114102353 is 353201411501.

It can be written as a sum of positive squares in 3 ways, for example, as 304572304 + 104809530049 = 17452^2 + 323743^2 .

It is a de Polignac number, because none of the positive numbers 2k-105114102353 is a prime.

It is a super-2 number, since 2×1051141023532 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105114102343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 310988300 + ... + 310988637.

It is an arithmetic number, because the mean of its divisors is an integer number (18970296609).

Almost surely, 2105114102353 is an apocalyptic number.

105114102353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105114102353 is a deficient number, since it is larger than the sum of its proper divisors (8707677301).

105114102353 is an equidigital number, since it uses as much as digits as its factorization.

105114102353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621976963 (or 621976950 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 105114102353 its reverse (353201411501), we get a palindrome (458315513854).

The spelling of 105114102353 in words is "one hundred five billion, one hundred fourteen million, one hundred two thousand, three hundred fifty-three".

Divisors: 1 13 169 621976937 8085700181 105114102353