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315135093 = 37134912351
BaseRepresentation
bin10010110010001…
…001010001110101
3210221222112002010
4102302021101311
51121133310333
651134234433
710544414130
oct2262112165
9727875063
10315135093
11151981729
1289655a19
1350399a90
142dbd3217
151c9ed563
hex12c89475

315135093 has 32 divisors (see below), whose sum is σ = 518418432. Its totient is φ = 165816000.

The previous prime is 315135077. The next prime is 315135109. The reversal of 315135093 is 390531513.

It is an interprime number because it is at equal distance from previous prime (315135077) and next prime (315135109).

It is not a de Polignac number, because 315135093 - 24 = 315135077 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 315135093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315135013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132868 + ... + 135218.

It is an arithmetic number, because the mean of its divisors is an integer number (16200576).

Almost surely, 2315135093 is an apocalyptic number.

It is an amenable number.

315135093 is a deficient number, since it is larger than the sum of its proper divisors (203283339).

315135093 is a wasteful number, since it uses less digits than its factorization.

315135093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865.

The product of its (nonzero) digits is 6075, while the sum is 30.

The square root of 315135093 is about 17752.0447554641. The cubic root of 315135093 is about 680.5064659705.

The spelling of 315135093 in words is "three hundred fifteen million, one hundred thirty-five thousand, ninety-three".

Divisors: 1 3 7 13 21 39 91 273 491 1473 2351 3437 6383 7053 10311 16457 19149 30563 44681 49371 91689 134043 213941 641823 1154341 3463023 8080387 15006433 24241161 45019299 105045031 315135093