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103417183820665 = 51113615123514781
BaseRepresentation
bin10111100000111010110000…
…100000010101101101111001
3111120011120211100112201012001
4113200322300200111231321
5102023341343024230130
61003541110503221001
730532434136312021
oct2740726040255571
9446146740481161
10103417183820665
112aa51a88206030
12b722b39747761
1345922773b84b0
141b775c015aa81
15be51b92e46ca
hex5e0eb0815b79

103417183820665 has 32 divisors (see below), whose sum is σ = 145820242374912. Its totient is φ = 69415630560000.

The previous prime is 103417183820647. The next prime is 103417183820677. The reversal of 103417183820665 is 566028381714301.

It is not a de Polignac number, because 103417183820665 - 229 = 103416646949753 is a prime.

It is a super-2 number, since 2×1034171838206652 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7359426 + ... + 16155355.

It is an arithmetic number, because the mean of its divisors is an integer number (4556882574216).

Almost surely, 2103417183820665 is an apocalyptic number.

It is an amenable number.

103417183820665 is a deficient number, since it is larger than the sum of its proper divisors (42403058554247).

103417183820665 is a wasteful number, since it uses less digits than its factorization.

103417183820665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23520961.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 103417183820665 in words is "one hundred three trillion, four hundred seventeen billion, one hundred eighty-three million, eight hundred twenty thousand, six hundred sixty-five".

Divisors: 1 5 11 13 55 65 143 715 6151 30755 67661 79963 338305 399815 879593 4397965 23514781 117573905 258662591 305692153 1293312955 1528460765 3362613683 16813068415 144639417931 723197089655 1591033597241 1880312433103 7955167986205 9401562165515 20683436764133 103417183820665