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242312330331 = 343627782463
BaseRepresentation
bin1110000110101011110…
…0001011110001011011
3212011110011101202220000
43201222330023301123
512432223424032311
6303152230104043
723335503552441
oct3415274136133
9764404352800
10242312330331
1193844aa2245
123ab65aab023
1319b08473026
14ba2980ab91
156482e66056
hex386af0bc5b

242312330331 has 20 divisors (see below), whose sum is σ = 361987108032. Its totient is φ = 161535141648.

The previous prime is 242312330329. The next prime is 242312330357. The reversal of 242312330331 is 133033213242.

242312330331 is a `hidden beast` number, since 2 + 42 + 312 + 3 + 303 + 3 + 1 = 666.

It is not a de Polignac number, because 242312330331 - 21 = 242312330329 is a prime.

It is a super-2 number, since 2×2423123303312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242312330295 and 242312330304.

It is not an unprimeable number, because it can be changed into a prime (242312330321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2897206 + ... + 2979668.

Almost surely, 2242312330331 is an apocalyptic number.

242312330331 is a deficient number, since it is larger than the sum of its proper divisors (119674777701).

242312330331 is an equidigital number, since it uses as much as digits as its factorization.

242312330331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118752 (or 118743 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 242312330331 its reverse (133033213242), we get a palindrome (375345543573).

The spelling of 242312330331 in words is "two hundred forty-two billion, three hundred twelve million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 36277 82463 108831 247389 326493 742167 979479 2226501 2938437 6679503 2991510251 8974530753 26923592259 80770776777 242312330331