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13220303130 = 23251737435431
BaseRepresentation
bin11000100111111110…
…11101000100011010
31021010100022222112200
430103333131010122
5204033344200010
610023500551030
7645416502546
oct142377350432
937110288480
1013220303130
115674575461
12268b552476
131328c17398
148d5b14a26
1552596bcc0
hex313fdd11a

13220303130 has 192 divisors, whose sum is σ = 38254664448. Its totient is φ = 3152701440.

The previous prime is 13220303099. The next prime is 13220303143. The reversal of 13220303130 is 3130302231.

13220303130 is a `hidden beast` number, since 1 + 322 + 0 + 30 + 313 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2431515 + ... + 2436945.

It is an arithmetic number, because the mean of its divisors is an integer number (199243044).

Almost surely, 213220303130 is an apocalyptic number.

13220303130 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 13220303130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19127332224).

13220303130 is an abundant number, since it is smaller than the sum of its proper divisors (25034361318).

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

13220303130 is a wasteful number, since it uses less digits than its factorization.

13220303130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5538 counting only the distinct ones).

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

Adding to 13220303130 its reverse (3130302231), we get a palindrome (16350605361).

The spelling of 13220303130 in words is "thirteen billion, two hundred twenty million, three hundred three thousand, one hundred thirty".