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242203232241 = 341928283001
BaseRepresentation
bin1110000110010001110…
…0000000011111110001
3212011011120010000110000
43201210130000133301
512432013011412431
6303133331500213
723333010335265
oct3414434003761
9764146100400
10242203232241
1193799457233
123ab35457669
1319abb995349
14ba1912c0a5
1564785b59e6
hex38647007f1

242203232241 has 30 divisors (see below), whose sum is σ = 381854675202. Its totient is φ = 152970444000.

The previous prime is 242203232209. The next prime is 242203232353. The reversal of 242203232241 is 142232302242.

242203232241 is a `hidden beast` number, since 2 + 422 + 0 + 3 + 232 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 233196273216 + 9006959025 = 482904^2 + 94905^2 .

It is not a de Polignac number, because 242203232241 - 25 = 242203232209 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (242203232641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4112260 + ... + 4170741.

Almost surely, 2242203232241 is an apocalyptic number.

It is an amenable number.

242203232241 is a deficient number, since it is larger than the sum of its proper divisors (139651442961).

242203232241 is an equidigital number, since it uses as much as digits as its factorization.

242203232241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283051 (or 8283023 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242203232241 its reverse (142232302242), we get a palindrome (384435534483).

The spelling of 242203232241 in words is "two hundred forty-two billion, two hundred three million, two hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 9 19 27 57 81 171 361 513 1083 1539 3249 9747 29241 8283001 24849003 74547009 157377019 223641027 472131057 670923081 1416393171 2990163361 4249179513 8970490083 12747538539 26911470249 80734410747 242203232241