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1293412005 = 32528742489
BaseRepresentation
bin100110100010111…
…1110011010100101
310100010210010201100
41031011332122211
510122103141010
6332202150313
744023551324
oct11505763245
93303703640
101293412005
11604108646
123011b2399
13177c6c462
14c3ac80bb
157883d2c0
hex4d17e6a5

1293412005 has 12 divisors (see below), whose sum is σ = 2241914220. Its totient is φ = 689819712.

The previous prime is 1293411979. The next prime is 1293412013. The reversal of 1293412005 is 5002143921.

It can be written as a sum of positive squares in 2 ways, for example, as 547138881 + 746273124 = 23391^2 + 27318^2 .

It is not a de Polignac number, because 1293412005 - 212 = 1293407909 is a prime.

It is a super-2 number, since 2×12934120052 = 3345829229356240050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1293412005.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 14371200 + ... + 14371289.

It is an arithmetic number, because the mean of its divisors is an integer number (186826185).

Almost surely, 21293412005 is an apocalyptic number.

1293412005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1293412005 is a deficient number, since it is larger than the sum of its proper divisors (948502215).

1293412005 is a wasteful number, since it uses less digits than its factorization.

1293412005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28742500 (or 28742497 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1293412005 is about 35964.0376626429. The cubic root of 1293412005 is about 1089.5461469378.

Adding to 1293412005 its reverse (5002143921), we get a palindrome (6295555926).

The spelling of 1293412005 in words is "one billion, two hundred ninety-three million, four hundred twelve thousand, five".

Divisors: 1 3 5 9 15 45 28742489 86227467 143712445 258682401 431137335 1293412005