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330031232300113 = 538218778648413
BaseRepresentation
bin100101100001010010110001…
…0010111011011010001010001
31121021112200022000201120200021
41023002211202113123101101
5321224212430432100423
63125530131032023441
7126341653412301661
oct11302454227332121
91537480260646607
10330031232300113
1196181506811953
123102231bb31b81
131121ca722cc506
145b6d84db681a1
152824d0a52c95d
hex12c29625db451

330031232300113 has 16 divisors (see below), whose sum is σ = 337051732954896. Its totient is φ = 323041020007680.

The previous prime is 330031232300111. The next prime is 330031232300117. The reversal of 330031232300113 is 311003232130033.

It can be written as a sum of positive squares in 8 ways, for example, as 36725636188224 + 293305596111889 = 6060168^2 + 17126167^2 .

It is a cyclic number.

It is not a de Polignac number, because 330031232300113 - 21 = 330031232300111 is a prime.

It is a super-2 number, since 2×3300312323001132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330031232300111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33836695 + ... + 42485107.

It is an arithmetic number, because the mean of its divisors is an integer number (21065733309681).

Almost surely, 2330031232300113 is an apocalyptic number.

It is an amenable number.

330031232300113 is a deficient number, since it is larger than the sum of its proper divisors (7020500654783).

330031232300113 is an equidigital number, since it uses as much as digits as its factorization.

330031232300113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8650164.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 330031232300113 its reverse (311003232130033), we get a palindrome (641034464430146).

The spelling of 330031232300113 in words is "three hundred thirty trillion, thirty-one billion, two hundred thirty-two million, three hundred thousand, one hundred thirteen".

Divisors: 1 53 821 877 43513 46481 720017 8648413 38160901 458365889 7100347073 7584658201 376318394869 401986884653 6227004383021 330031232300113