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1005011000055 = 325223100150573
BaseRepresentation
bin11101001111111110101…
…00101101101011110111
310120002002221111121021200
432213333110231223313
5112431230304000210
62045410133343543
7132416052356436
oct16477724555367
93502087447250
101005011000055
1135824a566457
12142940197bb3
1373a064a922a
14368ddb6d11d
151b2216420c0
hexe9ff52daf7

1005011000055 has 24 divisors (see below), whose sum is σ = 1749830828928. Its totient is φ = 533602247616.

The previous prime is 1005011000041. The next prime is 1005011000069. The reversal of 1005011000055 is 5500001105001.

1005011000055 is a `hidden beast` number, since 10 + 0 + 501 + 100 + 0 + 0 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (1005011000041) and next prime (1005011000069).

It is not a de Polignac number, because 1005011000055 - 211 = 1005010998007 is a prime.

It is a super-2 number, since 2×10050110000552 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50065252 + ... + 50085321.

It is an arithmetic number, because the mean of its divisors is an integer number (72909617872).

Almost surely, 21005011000055 is an apocalyptic number.

1005011000055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005011000055 is a deficient number, since it is larger than the sum of its proper divisors (744819828873).

1005011000055 is a wasteful number, since it uses less digits than its factorization.

1005011000055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100150807 (or 100150804 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

Adding to 1005011000055 its reverse (5500001105001), we get a palindrome (6505012105056).

The spelling of 1005011000055 in words is "one trillion, five billion, eleven million, fifty-five", and thus it is an aban number and an uban number.

Divisors: 1 3 5 9 15 45 223 669 1115 2007 3345 10035 100150573 300451719 500752865 901355157 1502258595 4506775785 22333577779 67000733337 111667888895 201002200011 335003666685 1005011000055