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234638358401 is a prime number
BaseRepresentation
bin1101101010000110001…
…0010011011110000001
3211102122100110121102102
43122201202103132001
512321014404432101
6255442534200145
722644362065436
oct3324142233601
9742570417372
10234638358401
1190567266587
1239583ab3055
1319184641b35
14b4dc56db8d
1561843bb86b
hex36a1893781

234638358401 has 2 divisors, whose sum is σ = 234638358402. Its totient is φ = 234638358400.

The previous prime is 234638358391. The next prime is 234638358403. The reversal of 234638358401 is 104853836432.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207276236176 + 27362122225 = 455276^2 + 165415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-234638358401 is a prime.

It is a super-2 number, since 2×2346383584012 (a number of 24 digits) contains 22 as substring.

Together with 234638358403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (234638358403) 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, 117319179200 + 117319179201.

It is an arithmetic number, because the mean of its divisors is an integer number (117319179201).

Almost surely, 2234638358401 is an apocalyptic number.

It is an amenable number.

234638358401 is a deficient number, since it is larger than the sum of its proper divisors (1).

234638358401 is an equidigital number, since it uses as much as digits as its factorization.

234638358401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1658880, while the sum is 47.

The spelling of 234638358401 in words is "two hundred thirty-four billion, six hundred thirty-eight million, three hundred fifty-eight thousand, four hundred one".