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1055050055001 = 3461213529661
BaseRepresentation
bin11110101101001011110…
…00100011110101011001
310201212021020210222020000
433112211320203311121
5114241220303230001
62124403332123213
7136140060333135
oct17264570436531
93655236728200
101055050055001
11377498284018
12150586166509
137864c371597
14390c97483c5
151c69e64da86
hexf5a5e23d59

1055050055001 has 20 divisors (see below), whose sum is σ = 1601899524324. Its totient is φ = 691836098400.

The previous prime is 1055050054979. The next prime is 1055050055071. The reversal of 1055050055001 is 1005500505501.

1055050055001 is a `hidden beast` number, since 10 + 5 + 50 + 50 + 0 + 550 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 403607360601 + 651442694400 = 635301^2 + 807120^2 .

It is not a de Polignac number, because 1055050055001 - 231 = 1052902571353 is a prime.

It is a super-2 number, since 2×10550500550012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1055050055071) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 106759890 + ... + 106769771.

Almost surely, 21055050055001 is an apocalyptic number.

It is an amenable number.

1055050055001 is a deficient number, since it is larger than the sum of its proper divisors (546849469323).

1055050055001 is an equidigital number, since it uses as much as digits as its factorization.

1055050055001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213529734 (or 213529725 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 1055050055001 in words is "one trillion, fifty-five billion, fifty million, fifty-five thousand, one".

Divisors: 1 3 9 27 61 81 183 549 1647 4941 213529661 640588983 1921766949 5765300847 13025309321 17295902541 39075927963 117227783889 351683351667 1055050055001