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13223312322 = 2311318637489
BaseRepresentation
bin11000101000010101…
…11011101111000010
31021010112222212101020
430110022323233002
5204040131443242
610024045250310
7645454204653
oct142412735702
937115885336
1013223312322
1156762402a0
122690563996
13132972bc7c
148d629952a
15525d636ec
hex3142bbbc2

13223312322 has 64 divisors (see below), whose sum is σ = 29820026880. Its totient is φ = 3872793600.

The previous prime is 13223312321. The next prime is 13223312341. The reversal of 13223312322 is 22321332231.

13223312322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13223312292 and 13223312301.

It is not an unprimeable number, because it can be changed into a prime (13223312321) 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 31 ways as a sum of consecutive naturals, for example, 1761954 + ... + 1769442.

It is an arithmetic number, because the mean of its divisors is an integer number (465937920).

Almost surely, 213223312322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223312322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910013440).

13223312322 is an abundant number, since it is smaller than the sum of its proper divisors (16596714558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13223312322 is a wasteful number, since it uses less digits than its factorization.

13223312322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399.

The product of its digits is 2592, while the sum is 24.

Adding to 13223312322 its reverse (22321332231), we get a palindrome (35544644553).

The spelling of 13223312322 in words is "thirteen billion, two hundred twenty-three million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 863 1023 1726 2046 2589 5178 7489 9493 14978 18986 22467 26753 28479 44934 53506 56958 80259 82379 160518 164758 232159 247137 294283 464318 494274 588566 696477 882849 1392954 1765698 2553749 5107498 6463007 7661247 12926014 15322494 19389021 38778042 71093077 142186154 200353217 213279231 400706434 426558462 601059651 1202119302 2203885387 4407770774 6611656161 13223312322