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1005123412 = 22298664857
BaseRepresentation
bin111011111010001…
…111011101010100
32121001022120010001
4323322033131110
54024302422122
6243423141044
733623256646
oct7372173524
92531276101
101005123412
11476403107
12240744784
131303121a7
14976c2896
155d394527
hex3be8f754

1005123412 has 12 divisors (see below), whose sum is σ = 1819620180. Its totient is φ = 485231936.

The previous prime is 1005123407. The next prime is 1005123461. The reversal of 1005123412 is 2143215001.

It can be written as a sum of positive squares in 2 ways, for example, as 836019396 + 169104016 = 28914^2 + 13004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1005123412.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4332313 + ... + 4332544.

It is an arithmetic number, because the mean of its divisors is an integer number (151635015).

Almost surely, 21005123412 is an apocalyptic number.

It is an amenable number.

1005123412 is a deficient number, since it is larger than the sum of its proper divisors (814496768).

1005123412 is a wasteful number, since it uses less digits than its factorization.

1005123412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8664890 (or 8664888 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1005123412 is about 31703.6813635262. The cubic root of 1005123412 is about 1001.7048956789.

Adding to 1005123412 its reverse (2143215001), we get a palindrome (3148338413).

The spelling of 1005123412 in words is "one billion, five million, one hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 4 29 58 116 8664857 17329714 34659428 251280853 502561706 1005123412