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13223100330 = 23251137467773
BaseRepresentation
bin11000101000010100…
…00111111110101010
31021010112121002120200
430110022013332222
5204040103202310
610024040533030
7645452332626
oct142412077652
937115532520
1013223100330
115676105aa0
122690481176
13132968662b
148d6242186
15525d209c0
hex314287faa

13223100330 has 192 divisors, whose sum is σ = 38651603328. Its totient is φ = 3108257280.

The previous prime is 13223100239. The next prime is 13223100337. The reversal of 13223100330 is 3300132231.

13223100330 is a `hidden beast` number, since 1 + 3 + 22 + 310 + 0 + 330 = 666.

13223100330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132231003302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13223100337) 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 95 ways as a sum of consecutive naturals, for example, 17105824 + ... + 17106596.

It is an arithmetic number, because the mean of its divisors is an integer number (201310434).

Almost surely, 213223100330 is an apocalyptic number.

13223100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19325801664).

13223100330 is an abundant number, since it is smaller than the sum of its proper divisors (25428502998).

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

13223100330 is a wasteful number, since it uses less digits than its factorization.

13223100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13223100330 its reverse (3300132231), we get a palindrome (16523232561).

The spelling of 13223100330 in words is "thirteen billion, two hundred twenty-three million, one hundred thousand, three hundred thirty".