Search a number
-
+
13223122320 = 243555096343
BaseRepresentation
bin11000101000010100…
…01101010110010000
31021010112122012202010
430110022031112100
5204040104403240
610024041222520
7645452454012
oct142412152620
937115565663
1013223122320
115676120571
122690491a40
131329693645
148d624a1b2
15525d27280
hex31428d590

13223122320 has 40 divisors (see below), whose sum is σ = 40991679936. Its totient is φ = 3526165888.

The previous prime is 13223122307. The next prime is 13223122321. The reversal of 13223122320 is 2322132231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13223122321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27547932 + ... + 27548411.

Almost surely, 213223122320 is an apocalyptic number.

13223122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13223122320 is an abundant number, since it is smaller than the sum of its proper divisors (27768557616).

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

13223122320 is a wasteful number, since it uses less digits than its factorization.

13223122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55096359 (or 55096353 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13223122320 its reverse (2322132231), we get a palindrome (15545254551).

The spelling of 13223122320 in words is "thirteen billion, two hundred twenty-three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 55096343 110192686 165289029 220385372 275481715 330578058 440770744 550963430 661156116 826445145 881541488 1101926860 1322312232 1652890290 2203853720 2644624464 3305780580 4407707440 6611561160 13223122320