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34322000022343 = 11107151193116409
BaseRepresentation
bin1111100110111001101101…
…00111101000101101000111
311111112011002012020102021201
413303130312213220231013
513444312424001203333
6200555150435123331
710141453104415555
oct763346647505507
9144464065212251
1034322000022343
11aa32973270370
123a23a00443547
13161c720bc5787
1486929d5b6bd5
153e7bd9a7817d
hex1f37369e8b47

34322000022343 has 16 divisors (see below), whose sum is σ = 38042387838720. Its totient is φ = 30705508872000.

The previous prime is 34322000022341. The next prime is 34322000022347.

34322000022343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34322000022343 - 21 = 34322000022341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34322000022341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96380478 + ... + 96735931.

It is an arithmetic number, because the mean of its divisors is an integer number (2377649239920).

Almost surely, 234322000022343 is an apocalyptic number.

34322000022343 is a deficient number, since it is larger than the sum of its proper divisors (3720387816377).

34322000022343 is a wasteful number, since it uses less digits than its factorization.

34322000022343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193116678.

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 343220000 and 22343, that added together give a palindrome (343242343).

The spelling of 34322000022343 in words is "thirty-four trillion, three hundred twenty-two billion, twenty-two thousand, three hundred forty-three".

Divisors: 1 11 107 151 1177 1661 16157 177727 193116409 2124280499 20663455763 29160577759 227298013393 320766355349 3120181820213 34322000022343