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103024895265 = 3252289442117
BaseRepresentation
bin101111111110011000…
…0110010010100100001
3100211220222111221110200
41133330300302110201
53141443333122030
6115155021015413
710305024106065
oct1377460622441
9324828457420
10103024895265
113a76895a746
1217b729b4569
13993b3cc5b6
144db4aa7aa5
152a2ea99d60
hex17fcc32521

103024895265 has 12 divisors (see below), whose sum is σ = 178576485204. Its totient is φ = 54946610784.

The previous prime is 103024895257. The next prime is 103024895299. The reversal of 103024895265 is 562598420301.

103024895265 is a `hidden beast` number, since 1 + 0 + 302 + 4 + 89 + 5 + 265 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77232856464 + 25792038801 = 277908^2 + 160599^2 .

It is not a de Polignac number, because 103024895265 - 23 = 103024895257 is a prime.

It is a super-2 number, since 2×1030248952652 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2289442117 = 103024895265 / (1 + 0 + 3 + 0 + 2 + 4 + 8 + 9 + 5 + 2 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 103024895265.

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 11 ways as a sum of consecutive naturals, for example, 1144721014 + ... + 1144721103.

It is an arithmetic number, because the mean of its divisors is an integer number (14881373767).

Almost surely, 2103024895265 is an apocalyptic number.

103024895265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103024895265 is a deficient number, since it is larger than the sum of its proper divisors (75551589939).

103024895265 is a wasteful number, since it uses less digits than its factorization.

103024895265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289442128 (or 2289442125 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 103024895265 in words is "one hundred three billion, twenty-four million, eight hundred ninety-five thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 45 2289442117 6868326351 11447210585 20604979053 34341631755 103024895265