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13222131130 = 25131131994523
BaseRepresentation
bin11000101000001100…
…11011010110111010
31021010110202212002101
430110012123112322
5204034331144010
610024004054014
7645441155155
oct142406332672
937113685071
1013222131130
1156756038aa
12269009430a
131329407440
148d606cc9c
15525bcd73a
hex31419b5ba

13222131130 has 64 divisors (see below), whose sum is σ = 25993094400. Its totient is φ = 4813433856.

The previous prime is 13222131121. The next prime is 13222131137. The reversal of 13222131130 is 3113122231.

13222131130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13222131098 and 13222131107.

It is not an unprimeable number, because it can be changed into a prime (13222131137) 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, 2921049 + ... + 2925571.

It is an arithmetic number, because the mean of its divisors is an integer number (406142100).

Almost surely, 213222131130 is an apocalyptic number.

13222131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13222131130 is a deficient number, since it is larger than the sum of its proper divisors (12770963270).

13222131130 is a wasteful number, since it uses less digits than its factorization.

13222131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13222131130 its reverse (3113122231), we get a palindrome (16335253361).

The spelling of 13222131130 in words is "thirteen billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 113 130 199 226 398 565 995 1130 1469 1990 2587 2938 4523 5174 7345 9046 12935 14690 22487 22615 25870 44974 45230 58799 112435 117598 224870 292331 293995 511099 584662 587990 900077 1022198 1461655 1800154 2555495 2923310 4500385 5110990 6644287 9000770 11701001 13288574 23402002 33221435 58505005 66442870 101708701 117010010 203417402 508543505 1017087010 1322213113 2644426226 6611065565 13222131130