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480115117 is a prime number
BaseRepresentation
bin11100100111011…
…111100110101101
31020110102101010101
4130213133212231
51440402140432
6115350311101
714616624346
oct3447374655
91213371111
10480115117
11227015659
12114958491
13786121b1
1447a9b0cd
152c23b4e7
hex1c9df9ad

480115117 has 2 divisors, whose sum is σ = 480115118. Its totient is φ = 480115116.

The previous prime is 480115061. The next prime is 480115121. The reversal of 480115117 is 711511084.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 474760521 + 5354596 = 21789^2 + 2314^2 .

It is a cyclic number.

It is not a de Polignac number, because 480115117 - 215 = 480082349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (480115157) 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 as a sum of consecutive naturals, namely, 240057558 + 240057559.

It is an arithmetic number, because the mean of its divisors is an integer number (240057559).

Almost surely, 2480115117 is an apocalyptic number.

It is an amenable number.

480115117 is a deficient number, since it is larger than the sum of its proper divisors (1).

480115117 is an equidigital number, since it uses as much as digits as its factorization.

480115117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 28.

The square root of 480115117 is about 21911.5293167775. The cubic root of 480115117 is about 783.0361159832.

The spelling of 480115117 in words is "four hundred eighty million, one hundred fifteen thousand, one hundred seventeen".