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34133401201 is a prime number
BaseRepresentation
bin11111110010100000…
…100101111001110001
310021002211000102212111
4133302200211321301
51024401122314301
623403005125321
72315600060134
oct376240457161
9107084012774
1034133401201
1113526462589
126747259841
1332ac823423
14191b3a621b
15d4b950551
hex7f2825e71

34133401201 has 2 divisors, whose sum is σ = 34133401202. Its totient is φ = 34133401200.

The previous prime is 34133401189. The next prime is 34133401259. The reversal of 34133401201 is 10210433143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32833077601 + 1300323600 = 181199^2 + 36060^2 .

It is a cyclic number.

It is not a de Polignac number, because 34133401201 - 27 = 34133401073 is a prime.

It is not a weakly prime, because it can be changed into another prime (34133401271) 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, 17066700600 + 17066700601.

It is an arithmetic number, because the mean of its divisors is an integer number (17066700601).

Almost surely, 234133401201 is an apocalyptic number.

It is an amenable number.

34133401201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34133401201 is an equidigital number, since it uses as much as digits as its factorization.

34133401201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 34133401201 its reverse (10210433143), we get a palindrome (44343834344).

The spelling of 34133401201 in words is "thirty-four billion, one hundred thirty-three million, four hundred one thousand, two hundred one".