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242133201321 = 31138918862133
BaseRepresentation
bin1110000110000001000…
…0110111000110101001
3212010222200100002002020
43201200100313012221
512431342044420241
6303122350455053
723331200152434
oct3414020670651
9763880302066
10242133201321
1193762974a40
123ab15b04489
1319aaa31572b
14ba0dadc81b
156472380b66
hex38604371a9

242133201321 has 16 divisors (see below), whose sum is σ = 353099148480. Its totient is φ = 146370144320.

The previous prime is 242133201269. The next prime is 242133201383. The reversal of 242133201321 is 123102331242.

It is a cyclic number.

It is not a de Polignac number, because 242133201321 - 213 = 242133193129 is a prime.

It is a super-2 number, since 2×2421332013212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242133201291 and 242133201300.

It is not an unprimeable number, because it can be changed into a prime (242133201221) 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, 9418230 + ... + 9443903.

It is an arithmetic number, because the mean of its divisors is an integer number (22068696780).

Almost surely, 2242133201321 is an apocalyptic number.

It is an amenable number.

242133201321 is a deficient number, since it is larger than the sum of its proper divisors (110965947159).

242133201321 is a wasteful number, since it uses less digits than its factorization.

242133201321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18862536.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 242133201321 its reverse (123102331242), we get a palindrome (365235532563).

The spelling of 242133201321 in words is "two hundred forty-two billion, one hundred thirty-three million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 389 1167 4279 12837 18862133 56586399 207483463 622450389 7337369737 22012109211 80711067107 242133201321