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34032112201 = 1731167386689
BaseRepresentation
bin11111101100011110…
…001101001001001001
310020211202102102111001
4133230132031021021
51024144210042301
623344550135001
72313230116003
oct375436151111
9106752372431
1034032112201
111348427066a
126719351461
13329484acc9
14190bb5b373
15d42ae3c01
hex7ec78d249

34032112201 has 16 divisors (see below), whose sum is σ = 37419217920. Its totient is φ = 30811299840.

The previous prime is 34032112189. The next prime is 34032112207. The reversal of 34032112201 is 10221123043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34032112201 - 223 = 34023723593 is a prime.

It is a super-2 number, since 2×340321122012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34032112207) 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 15 ways as a sum of consecutive naturals, for example, 105336 + ... + 281353.

It is an arithmetic number, because the mean of its divisors is an integer number (2338701120).

Almost surely, 234032112201 is an apocalyptic number.

34032112201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34032112201 is a deficient number, since it is larger than the sum of its proper divisors (3387105719).

34032112201 is a wasteful number, since it uses less digits than its factorization.

34032112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386904.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 34032112201 its reverse (10221123043), we get a palindrome (44253235244).

The spelling of 34032112201 in words is "thirty-four billion, thirty-two million, one hundred twelve thousand, two hundred one".

Divisors: 1 17 31 167 527 2839 5177 88009 386689 6573713 11987359 64577063 203785103 1097810071 2001888953 34032112201