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34322121333 = 34523810191
BaseRepresentation
bin11111111101110000…
…100000001001110101
310021120222010102020000
4133331300200021311
51030242430340313
623433430101513
72323351134453
oct377560401165
9107528112200
1034322121333
1113612a40835
12679a4aa899
13330c95b446
14193848d9d3
15d5d2cc673
hex7fdc20275

34322121333 has 20 divisors (see below), whose sum is σ = 51369413568. Its totient is φ = 22837635720.

The previous prime is 34322121313. The next prime is 34322121349. The reversal of 34322121333 is 33312122343.

34322121333 is a `hidden beast` number, since 3 + 4 + 322 + 1 + 2 + 1 + 333 = 666.

It is not a de Polignac number, because 34322121333 - 28 = 34322121077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34322121297 and 34322121306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34322121313) 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 19 ways as a sum of consecutive naturals, for example, 362733 + ... + 447458.

Almost surely, 234322121333 is an apocalyptic number.

It is an amenable number.

34322121333 is a deficient number, since it is larger than the sum of its proper divisors (17047292235).

34322121333 is an equidigital number, since it uses as much as digits as its factorization.

34322121333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810726 (or 810717 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 34322121333 its reverse (33312122343), we get a palindrome (67634243676).

The spelling of 34322121333 in words is "thirty-four billion, three hundred twenty-two million, one hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 27 81 523 1569 4707 14121 42363 810191 2430573 7291719 21875157 65625471 423729893 1271189679 3813569037 11440707111 34322121333