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1005014153 = 111316343117
BaseRepresentation
bin111011111001110…
…100110010001001
32121001010000020102
4323321310302021
54024240423103
6243420535145
733622323263
oct7371646211
92531100212
101005014153
11476339010
122406b14b5
131302a4540
1497694b33
155d371e88
hex3be74c89

1005014153 has 16 divisors (see below), whose sum is σ = 1187987136. Its totient is φ = 838175040.

The previous prime is 1005014123. The next prime is 1005014209. The reversal of 1005014153 is 3514105001.

It is a cyclic number.

It is not a de Polignac number, because 1005014153 - 214 = 1004997769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005014123) 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 15 ways as a sum of consecutive naturals, for example, 1751 + ... + 44867.

It is an arithmetic number, because the mean of its divisors is an integer number (74249196).

Almost surely, 21005014153 is an apocalyptic number.

1005014153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005014153 is a deficient number, since it is larger than the sum of its proper divisors (182972983).

1005014153 is a wasteful number, since it uses less digits than its factorization.

1005014153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43304.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1005014153 is about 31701.9581887302. The cubic root of 1005014153 is about 1001.6685985636.

Adding to 1005014153 its reverse (3514105001), we get a palindrome (4519119154).

The spelling of 1005014153 in words is "one billion, five million, fourteen thousand, one hundred fifty-three".

Divisors: 1 11 13 143 163 1793 2119 23309 43117 474287 560521 6165731 7028071 77308781 91364923 1005014153