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34223122132243 = 1124771256032669
BaseRepresentation
bin1111100100000001100010…
…00010011010110100010011
311111011200212020001011102221
413302000301002122310103
513441202423231212433
6200441515114521511
710131352604260522
oct762006102326423
9144150766034387
1034223122132243
11a9a4a43281020
123a08806436297
1316132c3a085b5
1486459d5ac4b9
153e534e0e072d
hex1f203109ad13

34223122132243 has 8 divisors (see below), whose sum is σ = 37349387475120. Its totient is φ = 31099368859680.

The previous prime is 34223122132211. The next prime is 34223122132369.

It is a happy number.

34223122132243 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34223122132243 - 25 = 34223122132211 is a prime.

It is a super-2 number, since 2×342231221322432 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34223122132199 and 34223122132208.

It is not an unprimeable number, because it can be changed into a prime (34223122132543) 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 7 ways as a sum of consecutive naturals, for example, 627989088 + ... + 628043581.

It is an arithmetic number, because the mean of its divisors is an integer number (4668673434390).

Almost surely, 234223122132243 is an apocalyptic number.

34223122132243 is a deficient number, since it is larger than the sum of its proper divisors (3126265342877).

34223122132243 is a wasteful number, since it uses less digits than its factorization.

34223122132243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256035157.

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 3422312 and 2132243, that added together give a palindrome (5554555).

The spelling of 34223122132243 in words is "thirty-four trillion, two hundred twenty-three billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred forty-three".

Divisors: 1 11 2477 27247 1256032669 13816359359 3111192921113 34223122132243