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13220234310 = 2353767177763
BaseRepresentation
bin11000100111111110…
…01100010001000110
31021010100012111010210
430103333030101012
5204033334444220
610023455300250
7645416065113
oct142377142106
937110174123
1013220234310
115674528788
12268b51a686
131328bc1c6a
148d5ad790a
155259566e0
hex313fcc446

13220234310 has 64 divisors (see below), whose sum is σ = 33072636672. Its totient is φ = 3378900096.

The previous prime is 13220234303. The next prime is 13220234311. The reversal of 13220234310 is 1343202231.

13220234310 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 2×132202343102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220234311) 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, 14512 + ... + 163251.

It is an arithmetic number, because the mean of its divisors is an integer number (516759948).

Almost surely, 213220234310 is an apocalyptic number.

13220234310 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 13220234310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536318336).

13220234310 is an abundant number, since it is smaller than the sum of its proper divisors (19852402362).

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

13220234310 is a wasteful number, since it uses less digits than its factorization.

13220234310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177877.

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

Adding to 13220234310 its reverse (1343202231), we get a palindrome (14563436541).

The spelling of 13220234310 in words is "thirteen billion, two hundred twenty million, two hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 67 74 111 134 185 201 222 335 370 402 555 670 1005 1110 2010 2479 4958 7437 12395 14874 24790 37185 74370 177763 355526 533289 888815 1066578 1777630 2666445 5332890 6577231 11910121 13154462 19731693 23820242 32886155 35730363 39463386 59550605 65772310 71460726 98658465 119101210 178651815 197316930 357303630 440674477 881348954 1322023431 2203372385 2644046862 4406744770 6610117155 13220234310