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313066145 = 57210331237
BaseRepresentation
bin10010101010010…
…000001010100001
3210211002102000102
4102222100022201
51120121104040
651022032145
710521006200
oct2252201241
9724072012
10313066145
11150799257
1288a18655
134cb24152
142d815237
151c740515
hex12a902a1

313066145 has 24 divisors (see below), whose sum is σ = 437791464. Its totient is φ = 214292736.

The previous prime is 313066141. The next prime is 313066147. The reversal of 313066145 is 541660313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 146991376 + 166074769 = 12124^2 + 12887^2 .

It is not a de Polignac number, because 313066145 - 22 = 313066141 is a prime.

It is a super-2 number, since 2×3130661452 = 196020822290322050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313066141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252467 + ... + 253703.

It is an arithmetic number, because the mean of its divisors is an integer number (18241311).

Almost surely, 2313066145 is an apocalyptic number.

313066145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

313066145 is a deficient number, since it is larger than the sum of its proper divisors (124725319).

313066145 is a wasteful number, since it uses less digits than its factorization.

313066145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 313066145 is about 17693.6752824279. The cubic root of 313066145 is about 679.0139579800.

The spelling of 313066145 in words is "three hundred thirteen million, sixty-six thousand, one hundred forty-five".

Divisors: 1 5 7 35 49 245 1033 1237 5165 6185 7231 8659 36155 43295 50617 60613 253085 303065 1277821 6389105 8944747 44723735 62613229 313066145