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103344310305 = 32515137151717
BaseRepresentation
bin110000000111111001…
…1010000100000100001
3100212202020112220112100
41200033303100200201
53143122120412210
6115250431121013
710315653100215
oct1401763204041
9325666486470
10103344310305
113a912194a15
1218041973169
13998c637492
145005292945
152a4cb415c0
hex180fcd0821

103344310305 has 24 divisors (see below), whose sum is σ = 179143152552. Its totient is φ = 55112961024.

The previous prime is 103344310301. The next prime is 103344310337. The reversal of 103344310305 is 503013443301.

103344310305 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 44 + 310 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1035809856 + 102308500449 = 32184^2 + 319857^2 .

It is not a de Polignac number, because 103344310305 - 22 = 103344310301 is a prime.

It is a super-2 number, since 2×1033443103052 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103344310301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605307 + ... + 757023.

It is an arithmetic number, because the mean of its divisors is an integer number (7464298023).

Almost surely, 2103344310305 is an apocalyptic number.

103344310305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103344310305 is a deficient number, since it is larger than the sum of its proper divisors (75798842247).

103344310305 is a wasteful number, since it uses less digits than its factorization.

103344310305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166865 (or 166862 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 103344310305 its reverse (503013443301), we get a palindrome (606357753606).

The spelling of 103344310305 in words is "one hundred three billion, three hundred forty-four million, three hundred ten thousand, three hundred five".

Divisors: 1 3 5 9 15 45 15137 45411 75685 136233 151717 227055 455151 681165 758585 1365453 2275755 6827265 2296540229 6889620687 11482701145 20668862061 34448103435 103344310305