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5303414313 = 3223531573079
BaseRepresentation
bin1001111000001101…
…11010111000101001
3111200121022100202100
410330012322320221
541330133224223
62234130324013
7245265164211
oct47406727051
914617270670
105303414313
11228170373a
121040129609
136669837a2
143844c3241
152108dc043
hex13c1bae29

5303414313 has 48 divisors (see below), whose sum is σ = 8198910720. Its totient is φ = 3295873152.

The previous prime is 5303414309. The next prime is 5303414339. The reversal of 5303414313 is 3134143035.

5303414313 is a `hidden beast` number, since 5 + 3 + 0 + 341 + 4 + 313 = 666.

It is not a de Polignac number, because 5303414313 - 22 = 5303414309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5303414113) 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 47 ways as a sum of consecutive naturals, for example, 1720908 + ... + 1723986.

It is an arithmetic number, because the mean of its divisors is an integer number (170810640).

Almost surely, 25303414313 is an apocalyptic number.

5303414313 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

5303414313 is a deficient number, since it is larger than the sum of its proper divisors (2895496407).

5303414313 is a wasteful number, since it uses less digits than its factorization.

5303414313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5303414313 is about 72824.5447153637. The cubic root of 5303414313 is about 1743.8877171534.

Adding to 5303414313 its reverse (3134143035), we get a palindrome (8437557348).

The spelling of 5303414313 in words is "five billion, three hundred three million, four hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 9 23 53 69 157 159 207 471 477 1219 1413 3079 3611 3657 8321 9237 10833 10971 24963 27711 32499 70817 74889 163187 191383 212451 483403 489561 574149 637353 1450209 1468683 1722447 3753301 4350627 11118269 11259903 25620359 33354807 33779709 76861077 100064421 230583231 589268257 1767804771 5303414313