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105323133134442 = 23373134153350803
BaseRepresentation
bin10111111100101001110011…
…111011111110011001101010
3111210220210102020102200011010
4113330221303323332121222
5102301103234040300232
61012000440203444350
731120226265213516
oct2774516373763152
9453823366380133
10105323133134442
1130617320982263
12b9903b42266b6
13469cc0c870332
141c01949b63146
15c29a6a50c0cc
hex5fca73efe66a

105323133134442 has 32 divisors (see below), whose sum is σ = 211213178054208. Its totient is φ = 35013227688576.

The previous prime is 105323133134423. The next prime is 105323133134477. The reversal of 105323133134442 is 244431331323501.

It is a happy number.

It is a super-2 number, since 2×1053231331344422 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105323133134442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300059013 + ... + 300409815.

It is an arithmetic number, because the mean of its divisors is an integer number (6600411814194).

Almost surely, 2105323133134442 is an apocalyptic number.

105323133134442 is an abundant number, since it is smaller than the sum of its proper divisors (105890044919766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105323133134442 is a wasteful number, since it uses less digits than its factorization.

105323133134442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485334.

The product of its (nonzero) digits is 311040, while the sum is 39.

Adding to 105323133134442 its reverse (244431331323501), we get a palindrome (349754464457943).

The spelling of 105323133134442 in words is "one hundred five trillion, three hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 373 746 1119 2238 134153 268306 350803 402459 701606 804918 1052409 2104818 50039069 100078138 130849519 150117207 261699038 300234414 392548557 785097114 47061274859 94122549718 141183824577 282367649154 17553855522407 35107711044814 52661566567221 105323133134442