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34132010241 = 373833424037
BaseRepresentation
bin11111110010011011…
…010010010100000001
310021002201101202211110
4133302123102110001
51024400243311431
623402515233533
72315552204640
oct376233222401
9107081352743
1034132010241
11135256a252a
1267468a88a9
1332ac457284
14191b123357
15d4b778346
hex7f26d2501

34132010241 has 16 divisors (see below), whose sum is σ = 52024374144. Its totient is φ = 19498871424.

The previous prime is 34132010239. The next prime is 34132010243. The reversal of 34132010241 is 14201023143.

It is an interprime number because it is at equal distance from previous prime (34132010239) and next prime (34132010243).

It is not a de Polignac number, because 34132010241 - 21 = 34132010239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34132010243) 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 in 15 ways as a sum of consecutive naturals, for example, 131526 + ... + 292511.

It is an arithmetic number, because the mean of its divisors is an integer number (3251523384).

Almost surely, 234132010241 is an apocalyptic number.

It is an amenable number.

34132010241 is a deficient number, since it is larger than the sum of its proper divisors (17892363903).

34132010241 is a wasteful number, since it uses less digits than its factorization.

34132010241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427880.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34132010241 its reverse (14201023143), we get a palindrome (48333033384).

The spelling of 34132010241 in words is "thirty-four billion, one hundred thirty-two million, ten thousand, two hundred forty-one".

Divisors: 1 3 7 21 3833 11499 26831 80493 424037 1272111 2968259 8904777 1625333821 4876001463 11377336747 34132010241