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1006245141 = 31130492277
BaseRepresentation
bin111011111110100…
…001010100010101
32121010102112211120
4323332201110111
54030044321031
6243503154153
733635641206
oct7376412425
92533375746
101006245141
11476aa9960
12240ba5959
13130615935
14978d55ad
155d516a96
hex3bfa1515

1006245141 has 8 divisors (see below), whose sum is σ = 1463629344. Its totient is φ = 609845520.

The previous prime is 1006245139. The next prime is 1006245167. The reversal of 1006245141 is 1415426001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1006245141 - 21 = 1006245139 is a prime.

It is a super-2 number, since 2×10062451412 = 2025058567572219762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006245241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15246106 + ... + 15246171.

It is an arithmetic number, because the mean of its divisors is an integer number (182953668).

Almost surely, 21006245141 is an apocalyptic number.

1006245141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006245141 is a deficient number, since it is larger than the sum of its proper divisors (457384203).

1006245141 is a wasteful number, since it uses less digits than its factorization.

1006245141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30492291.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1006245141 is about 31721.3672624621. The cubic root of 1006245141 is about 1002.0773951079.

The spelling of 1006245141 in words is "one billion, six million, two hundred forty-five thousand, one hundred forty-one".

Divisors: 1 3 11 33 30492277 91476831 335415047 1006245141