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1005111423 = 354136261
BaseRepresentation
bin111011111010001…
…100100001111111
32121001021221200000
4323322030201333
54024302031143
6243423005343
733623210001
oct7372144177
92531257600
101005111423
114763a50a8
12240739853
131303098b4
14976bc371
155d390bd3
hex3be8c87f

1005111423 has 12 divisors (see below), whose sum is σ = 1505599368. Its totient is φ = 670074120.

The previous prime is 1005111407. The next prime is 1005111427. The reversal of 1005111423 is 3241115001.

1005111423 is a `hidden beast` number, since 10 + 0 + 511 + 142 + 3 = 666.

It is not a de Polignac number, because 1005111423 - 24 = 1005111407 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005111396 and 1005111405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005111427) by changing a digit.

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, 2067888 + ... + 2068373.

It is an arithmetic number, because the mean of its divisors is an integer number (125466614).

Almost surely, 21005111423 is an apocalyptic number.

1005111423 is a deficient number, since it is larger than the sum of its proper divisors (500487945).

1005111423 is an frugal number, since it uses more digits than its factorization.

1005111423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136276 (or 4136264 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1005111423 is about 31703.4922839740. The cubic root of 1005111423 is about 1001.7009129216.

Adding to 1005111423 its reverse (3241115001), we get a palindrome (4246226424).

The spelling of 1005111423 in words is "one billion, five million, one hundred eleven thousand, four hundred twenty-three".

Divisors: 1 3 9 27 81 243 4136261 12408783 37226349 111679047 335037141 1005111423