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242220321321 = 311419145112073
BaseRepresentation
bin1110000110010101110…
…1001100101000101001
3212011012202021020020220
43201211131030220221
512432031400240241
6303135142040253
723333305521546
oct3414535145051
9764182236226
10242220321321
11937a8069540
123ab3b119089
1319ac2399824
14ba1b4d9bcd
156479d3e166
hex386574ca29

242220321321 has 32 divisors (see below), whose sum is σ = 353433991680. Its totient is φ = 146336784000.

The previous prime is 242220321311. The next prime is 242220321341. The reversal of 242220321321 is 123123022242.

It is not a de Polignac number, because 242220321321 - 27 = 242220321193 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 242220321291 and 242220321300.

It is not an unprimeable number, because it can be changed into a prime (242220321311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20056941 + ... + 20069013.

It is an arithmetic number, because the mean of its divisors is an integer number (11044812240).

Almost surely, 2242220321321 is an apocalyptic number.

It is an amenable number.

242220321321 is a deficient number, since it is larger than the sum of its proper divisors (111213670359).

242220321321 is a wasteful number, since it uses less digits than its factorization.

242220321321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13957.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242220321321 its reverse (123123022242), we get a palindrome (365343343563).

The spelling of 242220321321 in words is "two hundred forty-two billion, two hundred twenty million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 33 419 1257 1451 4353 4609 12073 13827 15961 36219 47883 132803 398409 607969 1823907 5058587 6687659 15175761 17517923 20062977 52553769 55644457 166933371 192697153 578091459 7340009737 22020029211 80740107107 242220321321