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113300666003311 is a prime number
BaseRepresentation
bin11001110000101111011101…
…111100110010111101101111
3112212011102211012221120002121
4121300233131330302331233
5104322304230444101221
61040545335111133411
732602463060605033
oct3160573574627557
9485142735846077
10113300666003311
11331125a7242326
121085a517974267
134b2b28c8c8157
141dd9ad25c41c3
15d17324d1ea41
hex670bddf32f6f

113300666003311 has 2 divisors, whose sum is σ = 113300666003312. Its totient is φ = 113300666003310.

The previous prime is 113300666003303. The next prime is 113300666003333.

113300666003311 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 113300666003311 - 23 = 113300666003303 is a prime.

It is a super-3 number, since 3×1133006660033113 (a number of 43 digits) contains 333 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113300666003341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56650333001655 + 56650333001656.

It is an arithmetic number, because the mean of its divisors is an integer number (56650333001656).

Almost surely, 2113300666003311 is an apocalyptic number.

113300666003311 is a deficient number, since it is larger than the sum of its proper divisors (1).

113300666003311 is an equidigital number, since it uses as much as digits as its factorization.

113300666003311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 113300666003311 in words is "one hundred thirteen trillion, three hundred billion, six hundred sixty-six million, three thousand, three hundred eleven".