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34034010201 = 32892477409
BaseRepresentation
bin11111101100100101…
…011100100001011001
310020211212222212001100
4133230211130201121
51024200201311301
623345054542013
72313252212352
oct375445344131
9106755885040
1034034010201
1113485347664
126719b07909
133295063b99
14190c0d2d29
15d42d6b286
hex7ec95c859

34034010201 has 18 divisors (see below), whose sum is σ = 49718909630. Its totient is φ = 22434356736.

The previous prime is 34034010163. The next prime is 34034010233. The reversal of 34034010201 is 10201043043.

It can be written as a sum of positive squares in 3 ways, for example, as 3254816601 + 30779193600 = 57051^2 + 175440^2 .

It is not a de Polignac number, because 34034010201 - 26 = 34034010137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34034010001) 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 in 17 ways as a sum of consecutive naturals, for example, 167416 + ... + 309993.

Almost surely, 234034010201 is an apocalyptic number.

It is an amenable number.

34034010201 is a deficient number, since it is larger than the sum of its proper divisors (15684899429).

34034010201 is an equidigital number, since it uses as much as digits as its factorization.

34034010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477593 (or 477501 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34034010201 its reverse (10201043043), we get a palindrome (44235053244).

The spelling of 34034010201 in words is "thirty-four billion, thirty-four million, ten thousand, two hundred one".

Divisors: 1 3 9 89 267 801 7921 23763 71289 477409 1432227 4296681 42489401 127468203 382404609 3781556689 11344670067 34034010201