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105341333344 = 2513614151219
BaseRepresentation
bin110001000011011010…
…1010010111101100000
3101001220102022012010121
41202012311102331200
53211214340131334
6120220530210024
710416312362632
oct1420665227540
9331812265117
10105341333344
1140747488985
12184ba723914
139c1a2ab810
1451545b4a52
152b18116db4
hex1886d52f60

105341333344 has 48 divisors (see below), whose sum is σ = 227005314480. Its totient is φ = 47822031360.

The previous prime is 105341333329. The next prime is 105341333347. The reversal of 105341333344 is 443333143501.

It is a super-2 number, since 2×1053413333442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105341333347) 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 7 ways as a sum of consecutive naturals, for example, 2050234 + ... + 2100985.

It is an arithmetic number, because the mean of its divisors is an integer number (4729277385).

Almost surely, 2105341333344 is an apocalyptic number.

It is an amenable number.

105341333344 is an abundant number, since it is smaller than the sum of its proper divisors (121663981136).

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

105341333344 is a wasteful number, since it uses less digits than its factorization.

105341333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151303 (or 4151295 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 105341333344 its reverse (443333143501), we get a palindrome (548674476845).

The spelling of 105341333344 in words is "one hundred five billion, three hundred forty-one million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 12688 25376 4151219 8302438 16604876 33209752 53965847 66419504 107931694 132839008 215863388 253224359 431726776 506448718 863453552 1012897436 1726907104 2025794872 3291916667 4051589744 6583833334 8103179488 13167666668 26335333336 52670666672 105341333344