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105314153055 = 3559791506317
BaseRepresentation
bin110001000010100110…
…1100111001001011111
3101001211112011021210020
41202011031213021133
53211140410344210
6120214115443223
710415532350046
oct1420515471137
9331745137706
10105314153055
1140733103a31
12184b15b6513
139c147830c7
145150b3b55d
152b15a48770
hex188536725f

105314153055 has 32 divisors (see below), whose sum is σ = 173527833600. Its totient is φ = 54516588672.

The previous prime is 105314153041. The next prime is 105314153071. The reversal of 105314153055 is 550351413501.

It is not a de Polignac number, because 105314153055 - 28 = 105314152799 is a prime.

It is a super-2 number, since 2×1053141530552 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 683244 + ... + 823073.

It is an arithmetic number, because the mean of its divisors is an integer number (5422744800).

Almost surely, 2105314153055 is an apocalyptic number.

105314153055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105314153055 is a deficient number, since it is larger than the sum of its proper divisors (68213680545).

105314153055 is a wasteful number, since it uses less digits than its factorization.

105314153055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506463.

The product of its (nonzero) digits is 22500, while the sum is 33.

Adding to 105314153055 its reverse (550351413501), we get a palindrome (655665566556).

The spelling of 105314153055 in words is "one hundred five billion, three hundred fourteen million, one hundred fifty-three thousand, fifty-five".

Divisors: 1 3 5 15 59 79 177 237 295 395 885 1185 4661 13983 23305 69915 1506317 4518951 7531585 22594755 88872703 118999043 266618109 356997129 444363515 594995215 1333090545 1784985645 7020943537 21062830611 35104717685 105314153055