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505201311105 = 35208316169029
BaseRepresentation
bin1110101101000000101…
…10000011110110000001
31210022000100101200201120
413112200112003312001
531234123013423410
61024030345222453
751333234201561
oct7264026036601
91708010350646
10505201311105
11185288a73517
1281ab2a91a29
133884290265a
141a647d28da1
15d21c5a2570
hex75a0583d81

505201311105 has 16 divisors (see below), whose sum is σ = 808710204480. Its totient is φ = 269311330368.

The previous prime is 505201311073. The next prime is 505201311151. The reversal of 505201311105 is 501113102505.

It is not a de Polignac number, because 505201311105 - 25 = 505201311073 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 8053270 + ... + 8115759.

It is an arithmetic number, because the mean of its divisors is an integer number (50544387780).

Almost surely, 2505201311105 is an apocalyptic number.

It is an amenable number.

505201311105 is a deficient number, since it is larger than the sum of its proper divisors (303508893375).

505201311105 is a wasteful number, since it uses less digits than its factorization.

505201311105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16171120.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 505201311105 in words is "five hundred five billion, two hundred one million, three hundred eleven thousand, one hundred five".

Divisors: 1 3 5 15 2083 6249 10415 31245 16169029 48507087 80845145 242535435 33680087407 101040262221 168400437035 505201311105