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10034134005 = 35731950269
BaseRepresentation
bin10010101100001010…
…01011101111110101
3221220021222211011210
421112011023233311
5131022214242010
64335402152033
7503440506000
oct112605135765
927807884153
1010034134005
11428a009435
121b404b2619
13c3baabccc
146b28ca537
153dada1b20
hex25614bbf5

10034134005 has 32 divisors (see below), whose sum is σ = 18722592000. Its totient is φ = 4587030336.

The previous prime is 10034133997. The next prime is 10034134027. The reversal of 10034134005 is 50043143001.

It is not a de Polignac number, because 10034134005 - 23 = 10034133997 is a prime.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 969990 + ... + 980279.

It is an arithmetic number, because the mean of its divisors is an integer number (585081000).

Almost surely, 210034134005 is an apocalyptic number.

10034134005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10034134005 is a deficient number, since it is larger than the sum of its proper divisors (8688457995).

10034134005 is an equidigital number, since it uses as much as digits as its factorization.

10034134005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950298 (or 1950284 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 10034134005 its reverse (50043143001), we get a palindrome (60077277006).

The spelling of 10034134005 in words is "ten billion, thirty-four million, one hundred thirty-four thousand, five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 343 735 1029 1715 5145 1950269 5850807 9751345 13651883 29254035 40955649 68259415 95563181 204778245 286689543 477815905 668942267 1433447715 2006826801 3344711335 10034134005