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4102402005 = 3351317197237
BaseRepresentation
bin1111010010000101…
…1010111111010101
3101120220101121121000
43310201122333111
531400203331010
61515024413513
7203442561462
oct36441327725
911526347530
104102402005
111815776389
12965a77299
13504bc6610
142acbac669
151902517c0
hexf485afd5

4102402005 has 128 divisors (see below), whose sum is σ = 8755084800. Its totient is φ = 1800548352.

The previous prime is 4102402001. The next prime is 4102402009. The reversal of 4102402005 is 5002042014.

It is an interprime number because it is at equal distance from previous prime (4102402001) and next prime (4102402009).

It is not a de Polignac number, because 4102402005 - 22 = 4102402001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102402001) 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 127 ways as a sum of consecutive naturals, for example, 563247 + ... + 570483.

It is an arithmetic number, because the mean of its divisors is an integer number (68399100).

Almost surely, 24102402005 is an apocalyptic number.

4102402005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4102402005 is an abundant number, since it is smaller than the sum of its proper divisors (4652682795).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4102402005 is a wasteful number, since it uses less digits than its factorization.

4102402005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7294 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4102402005 is about 64049.9961358313. The cubic root of 4102402005 is about 1600.8331604780.

Adding to 4102402005 its reverse (5002042014), we get a palindrome (9104444019).

The spelling of 4102402005 in words is "four billion, one hundred two million, four hundred two thousand, five".

Divisors: 1 3 5 9 13 15 17 19 27 39 45 51 57 65 85 95 117 135 153 171 195 221 247 255 285 323 351 459 513 585 663 741 765 855 969 1105 1235 1615 1755 1989 2223 2295 2565 2907 3315 3705 4199 4845 5967 6669 7237 8721 9945 11115 12597 14535 20995 21711 29835 33345 36185 37791 43605 62985 65133 94081 108555 113373 123029 137503 188955 195399 282243 325665 369087 412509 470405 566865 615145 687515 846729 976995 1107261 1237527 1411215 1599377 1787539 1845435 2062545 2337551 2540187 3321783 3712581 4233645 4798131 5362617 5536305 6187635 7012653 7996885 8937695 11687755 12700935 14394393 16087851 16608915 18562905 21037959 23990655 26813085 30388163 35063265 43183179 48263553 63113877 71971965 80439255 91164489 105189795 151940815 215915895 241317765 273493467 315569385 455822445 820480401 1367467335 4102402005