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242791147601 is a prime number
BaseRepresentation
bin1110001000011101111…
…0101110100001010001
3212012200112101012200222
43202013132232201101
512434214013210401
6303311532522425
723353406463242
oct3420736564121
9765615335628
10242791147601
1193a703007a2
123b07a320415
1319b8371c562
14ba7324acc9
1564aeee7c1b
hex38877ae851

242791147601 has 2 divisors, whose sum is σ = 242791147602. Its totient is φ = 242791147600.

The previous prime is 242791147463. The next prime is 242791147639. The reversal of 242791147601 is 106741197242.

242791147601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209535978001 + 33255169600 = 457751^2 + 182360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242791147601 is a prime.

It is not a weakly prime, because it can be changed into another prime (242791147661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121395573800 + 121395573801.

It is an arithmetic number, because the mean of its divisors is an integer number (121395573801).

Almost surely, 2242791147601 is an apocalyptic number.

It is an amenable number.

242791147601 is a deficient number, since it is larger than the sum of its proper divisors (1).

242791147601 is an equidigital number, since it uses as much as digits as its factorization.

242791147601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 242791147601 in words is "two hundred forty-two billion, seven hundred ninety-one million, one hundred forty-seven thousand, six hundred one".