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103303319985 = 32523531883207
BaseRepresentation
bin110000000110101011…
…0111001000110110001
3100212122101102101101100
41200031112321012301
53143031122214420
6115242404355013
710314644506005
oct1401526710661
9325571371340
10103303319985
113a8a1038318
12180300a5a69
139983cb4c58
144ddda62705
152a49246190
hex180d5b91b1

103303319985 has 48 divisors (see below), whose sum is σ = 190369730304. Its totient is φ = 51705303936.

The previous prime is 103303319923. The next prime is 103303320019. The reversal of 103303319985 is 589913303301.

It is not a de Polignac number, because 103303319985 - 28 = 103303319729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 103303319985.

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 47 ways as a sum of consecutive naturals, for example, 886749 + ... + 996458.

It is an arithmetic number, because the mean of its divisors is an integer number (3966036048).

Almost surely, 2103303319985 is an apocalyptic number.

103303319985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103303319985 is a deficient number, since it is larger than the sum of its proper divisors (87066410319).

103303319985 is a wasteful number, since it uses less digits than its factorization.

103303319985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883294 (or 1883291 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 103303319985 in words is "one hundred three billion, three hundred three million, three hundred nineteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 23 45 53 69 115 159 207 265 345 477 795 1035 1219 2385 3657 6095 10971 18285 54855 1883207 5649621 9416035 16948863 28248105 43313761 84744315 99809971 129941283 216568805 299429913 389823849 499049855 649706415 898289739 1497149565 1949119245 2295629333 4491448695 6886887999 11478146665 20660663997 34434439995 103303319985