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105344363366 = 21129792299127
BaseRepresentation
bin110001000011100000…
…0110110101101100110
3101001220122000010112122
41202013000312231212
53211221124111431
6120221115145542
710416350212544
oct1420700665546
9331818003478
10105344363366
1140749168430
12184bb7452b2
139c1aacca28
145154b62d94
152b18514a7b
hex1887036b66

105344363366 has 64 divisors (see below), whose sum is σ = 181391616000. Its totient is φ = 45443099520.

The previous prime is 105344363291. The next prime is 105344363389. The reversal of 105344363366 is 663363443501.

It is a super-3 number, since 3×1053443633663 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 11537495 + ... + 11546621.

It is an arithmetic number, because the mean of its divisors is an integer number (2834244000).

Almost surely, 2105344363366 is an apocalyptic number.

105344363366 is a deficient number, since it is larger than the sum of its proper divisors (76047252634).

105344363366 is a wasteful number, since it uses less digits than its factorization.

105344363366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9477.

The product of its (nonzero) digits is 1399680, while the sum is 44.

The spelling of 105344363366 in words is "one hundred five billion, three hundred forty-four million, three hundred sixty-three thousand, three hundred sixty-six".

Divisors: 1 2 11 22 29 58 79 158 229 319 458 638 869 1738 2291 2519 4582 5038 6641 9127 13282 18091 18254 25201 36182 50402 73051 100397 146102 199001 200794 264683 398002 524639 529366 721033 1049278 1442066 2090083 2911513 4180166 5771029 5823026 7931363 11542058 15862726 20909957 22990913 41819914 45981826 60612407 121224814 165116557 230009527 330233114 460019054 666736477 1333472954 1816282127 3632564254 4788380153 9576760306 52672181683 105344363366