Search a number
-
+
103310606805 = 357612281941
BaseRepresentation
bin110000000110111001…
…0101100000111010101
3100212122220010121000120
41200031302230013111
53143040003404210
6115243224502153
710315063445250
oct1401562540725
9325586117016
10103310606805
113a8a5164a8a
121803261a959
139985666893
1450009dc097
152a49bd5270
hex180dcac1d5

103310606805 has 96 divisors (see below), whose sum is σ = 192946800384. Its totient is φ = 46238976000.

The previous prime is 103310606803. The next prime is 103310606813. The reversal of 103310606805 is 508606013301.

It is not a de Polignac number, because 103310606805 - 21 = 103310606803 is a prime.

It is a super-3 number, since 3×1033106068053 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103310606803) 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 95 ways as a sum of consecutive naturals, for example, 109787635 + ... + 109788575.

It is an arithmetic number, because the mean of its divisors is an integer number (2009862504).

Almost surely, 2103310606805 is an apocalyptic number.

103310606805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103310606805 is a deficient number, since it is larger than the sum of its proper divisors (89636193579).

103310606805 is an equidigital number, since it uses as much as digits as its factorization.

103310606805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 103310606805 in words is "one hundred three billion, three hundred ten million, six hundred six thousand, eight hundred five".

Divisors: 1 3 5 7 15 21 35 61 105 183 281 305 427 843 915 941 1281 1405 1967 2135 2823 3721 4215 4705 5901 6405 6587 9835 11163 14115 17141 18605 19761 26047 29505 32935 51423 55815 57401 78141 85705 98805 119987 130235 172203 257115 264421 287005 359961 390705 401807 599935 793263 861015 1045601 1205421 1322105 1799805 1850947 2009035 3136803 3501461 3966315 5228005 5552841 6027105 7319207 9254735 10504383 15684015 16129681 17507305 21957621 24510227 27764205 36596035 48389043 52521915 73530681 80648405 109788105 112907767 122551135 241945215 338723301 367653405 564538835 983910541 1693616505 2951731623 4919552705 6887373787 14758658115 20662121361 34436868935 103310606805