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305056133 = 2989181653
BaseRepresentation
bin10010001011101…
…100100110000101
3210021000110100022
4102023230212011
51111043244013
650134224525
710362635324
oct2213544605
9707013308
10305056133
11147218208
12861b5145
134b27b2b5
142c72c0bb
151bbac008
hex122ec985

305056133 has 16 divisors (see below), whose sum is σ = 321375600. Its totient is φ = 289175040.

The previous prime is 305056111. The next prime is 305056139. The reversal of 305056133 is 331650503.

It can be written as a sum of positive squares in 8 ways, for example, as 107288164 + 197767969 = 10358^2 + 14063^2 .

It is a cyclic number.

It is not a de Polignac number, because 305056133 - 212 = 305052037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305056139) 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 15 ways as a sum of consecutive naturals, for example, 466835 + ... + 467487.

It is an arithmetic number, because the mean of its divisors is an integer number (20085975).

Almost surely, 2305056133 is an apocalyptic number.

It is an amenable number.

305056133 is a deficient number, since it is larger than the sum of its proper divisors (16319467).

305056133 is a wasteful number, since it uses less digits than its factorization.

305056133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952.

The product of its (nonzero) digits is 4050, while the sum is 26.

The square root of 305056133 is about 17465.8562057518. The cubic root of 305056133 is about 673.1728421588.

The spelling of 305056133 in words is "three hundred five million, fifty-six thousand, one hundred thirty-three".

Divisors: 1 29 89 181 653 2581 5249 16109 18937 58117 118193 467161 1685393 3427597 10519177 305056133