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242132313193 is a prime number
BaseRepresentation
bin1110000110000000110…
…1011110010001101001
3212010222121122221210121
43201200031132101221
512431341333010233
6303122315443241
723331156463231
oct3414015362151
9763877587717
10242132313193
1193762418751
123ab15756521
1319aaa094404
14ba0d94acc1
15647225792d
hex386035e469

242132313193 has 2 divisors, whose sum is σ = 242132313194. Its totient is φ = 242132313192.

The previous prime is 242132313119. The next prime is 242132313209. The reversal of 242132313193 is 391313231242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239368498009 + 2763815184 = 489253^2 + 52572^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242132313193 is a prime.

It is not a weakly prime, because it can be changed into another prime (242132313113) 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 as a sum of consecutive naturals, namely, 121066156596 + 121066156597.

It is an arithmetic number, because the mean of its divisors is an integer number (121066156597).

Almost surely, 2242132313193 is an apocalyptic number.

It is an amenable number.

242132313193 is a deficient number, since it is larger than the sum of its proper divisors (1).

242132313193 is an equidigital number, since it uses as much as digits as its factorization.

242132313193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 34.

The spelling of 242132313193 in words is "two hundred forty-two billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred ninety-three".