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10033134314 = 273158739383
BaseRepresentation
bin10010101100000010…
…10111101011101010
3221220020010000212012
421112001113223222
5131021440244224
64335324515522
7503426143310
oct112601275352
927806100765
1010033134314
114289496345
121b400abba2
13c3b81bc88
146b270a0b0
153dac5580e
hex256057aea

10033134314 has 32 divisors (see below), whose sum is σ = 17785184256. Its totient is φ = 4154013360.

The previous prime is 10033134289. The next prime is 10033134317. The reversal of 10033134314 is 41343133001.

10033134314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10033134314.

It is not an unprimeable number, because it can be changed into a prime (10033134317) 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, 235067 + ... + 274449.

It is an arithmetic number, because the mean of its divisors is an integer number (555787008).

Almost surely, 210033134314 is an apocalyptic number.

10033134314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10033134314 is a deficient number, since it is larger than the sum of its proper divisors (7752049942).

10033134314 is a wasteful number, since it uses less digits than its factorization.

10033134314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40010.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10033134314 its reverse (41343133001), we get a palindrome (51376267315).

The spelling of 10033134314 in words is "ten billion, thirty-three million, one hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 7 14 31 62 217 434 587 1174 4109 8218 18197 36394 39383 78766 127379 254758 275681 551362 1220873 2441746 8546111 17092222 23117821 46235642 161824747 323649494 716652451 1433304902 5016567157 10033134314