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247129159801 is a prime number
BaseRepresentation
bin1110011000101000001…
…0111011100001111001
3212121212212010001201111
43212022002323201321
513022110031103201
6305310215320321
723566043125156
oct3461202734171
9777785101644
10247129159801
1195896a71547
123ba8b0800a1
131a3c538a894
14bd6542b22d
156665c89b51
hex398a0bb879

247129159801 has 2 divisors, whose sum is σ = 247129159802. Its totient is φ = 247129159800.

The previous prime is 247129159799. The next prime is 247129159807. The reversal of 247129159801 is 108951921742.

247129159801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220055748201 + 27073411600 = 469101^2 + 164540^2 .

It is a cyclic number.

It is not a de Polignac number, because 247129159801 - 21 = 247129159799 is a prime.

It is a super-2 number, since 2×2471291598012 (a number of 24 digits) contains 22 as substring.

Together with 247129159799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (247129159807) 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, 123564579900 + 123564579901.

It is an arithmetic number, because the mean of its divisors is an integer number (123564579901).

Almost surely, 2247129159801 is an apocalyptic number.

It is an amenable number.

247129159801 is a deficient number, since it is larger than the sum of its proper divisors (1).

247129159801 is an equidigital number, since it uses as much as digits as its factorization.

247129159801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 49.

The spelling of 247129159801 in words is "two hundred forty-seven billion, one hundred twenty-nine million, one hundred fifty-nine thousand, eight hundred one".