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30023300313 = 32173714333701
BaseRepresentation
bin11011111101100001…
…110011010011011001
32212111101010200101200
4123331201303103121
5442441431102223
621443103304413
72112001561536
oct337541632331
985441120350
1030023300313
1111807408996
12599a8ab109
132aa6162776
14164b591d8d
15baabcca43
hex6fd8734d9

30023300313 has 48 divisors (see below), whose sum is σ = 47204675856. Its totient is φ = 18311270400.

The previous prime is 30023300303. The next prime is 30023300327. The reversal of 30023300313 is 31300332003.

30023300313 is a `hidden beast` number, since 30 + 0 + 23 + 300 + 313 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7056504009 + 22966796304 = 84003^2 + 151548^2 .

It is not a de Polignac number, because 30023300313 - 28 = 30023300057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30023300303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8110363 + ... + 8114063.

It is an arithmetic number, because the mean of its divisors is an integer number (983430747).

Almost surely, 230023300313 is an apocalyptic number.

It is an amenable number.

30023300313 is a deficient number, since it is larger than the sum of its proper divisors (17181375543).

30023300313 is a wasteful number, since it uses less digits than its factorization.

30023300313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 30023300313 its reverse (31300332003), we get a palindrome (61323632316).

The spelling of 30023300313 in words is "thirty billion, twenty-three million, three hundred thousand, three hundred thirteen".

Divisors: 1 3 9 17 37 51 111 153 333 629 1433 1887 3701 4299 5661 11103 12897 24361 33309 53021 62917 73083 136937 159063 188751 219249 410811 477189 566253 901357 1232433 2327929 2704071 5303533 6983787 8112213 15910599 20951361 47731797 90160061 196230721 270480183 588692163 811440549 1766076489 3335922257 10007766771 30023300313