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315002025 = 325213107693
BaseRepresentation
bin10010110001101…
…000110010101001
3210221201202112200
4102301220302221
51121120031100
651131330413
710543321152
oct2261506251
9727652480
10315002025
111518a0758
12895b0a09
1350351340
142db9a929
151c9c3e00
hex12c68ca9

315002025 has 36 divisors (see below), whose sum is σ = 607609548. Its totient is φ = 155076480.

The previous prime is 315002011. The next prime is 315002059. The reversal of 315002025 is 520200513.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4678569 + 310323456 = 2163^2 + 17616^2 .

It is not a de Polignac number, because 315002025 - 224 = 298224809 is a prime.

It is a super-3 number, since 3×3150020253 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315001989 and 315002007.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 50922 + ... + 56771.

It is an arithmetic number, because the mean of its divisors is an integer number (16878043).

Almost surely, 2315002025 is an apocalyptic number.

It is an amenable number.

315002025 is a deficient number, since it is larger than the sum of its proper divisors (292607523).

315002025 is a wasteful number, since it uses less digits than its factorization.

315002025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107722 (or 107714 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 315002025 is about 17748.2963971194. The cubic root of 315002025 is about 680.4106696120.

Adding to 315002025 its reverse (520200513), we get a palindrome (835202538).

The spelling of 315002025 in words is "three hundred fifteen million, two thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 107693 323079 538465 969237 1400009 1615395 2692325 4200027 4846185 7000045 8076975 12600081 21000135 24230925 35000225 63000405 105000675 315002025