Search a number
-
+
103105000575 = 3352152748149
BaseRepresentation
bin110000000000110001…
…0010111010001111111
3100212010120020201022000
41200001202113101333
53142124340004300
6115211001553343
710310016021213
oct1400142272177
9325116221260
10103105000575
113a7aa0a2a85
1217b957a5853
139951b988a5
144dc159a943
152a36b1ec00
hex180189747f

103105000575 has 24 divisors (see below), whose sum is σ = 189407706000. Its totient is φ = 54989333280.

The previous prime is 103105000543. The next prime is 103105000589. The reversal of 103105000575 is 575000501301.

103105000575 is a `hidden beast` number, since 10 + 31 + 0 + 50 + 0 + 0 + 575 = 666.

It is not a de Polignac number, because 103105000575 - 25 = 103105000543 is a prime.

It is a super-2 number, since 2×1031050005752 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 76373400 + ... + 76374749.

It is an arithmetic number, because the mean of its divisors is an integer number (7891987750).

Almost surely, 2103105000575 is an apocalyptic number.

103105000575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103105000575 is a deficient number, since it is larger than the sum of its proper divisors (86302705425).

103105000575 is a wasteful number, since it uses less digits than its factorization.

103105000575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152748168 (or 152748157 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

Adding to 103105000575 its reverse (575000501301), we get a palindrome (678105501876).

The spelling of 103105000575 in words is "one hundred three billion, one hundred five million, five hundred seventy-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 152748149 458244447 763740745 1374733341 2291222235 3818703725 4124200023 6873666705 11456111175 20621000115 34368333525 103105000575