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13022210310 = 23519371374507
BaseRepresentation
bin11000010000010111…
…10010100100000110
31020121112120211021120
430020023302210012
5203132141212220
65552103054410
7640462650504
oct141013624406
936545524246
1013022210310
11558277538a
122635141406
1312c6b7a1b5
148b76ab674
1551338ca40
hex3082f2906

13022210310 has 128 divisors (see below), whose sum is σ = 34041530880. Its totient is φ = 3176838144.

The previous prime is 13022210309. The next prime is 13022210321. The reversal of 13022210310 is 1301222031.

It is a super-2 number, since 2×130222103102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13022210310.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2887077 + ... + 2891583.

It is an arithmetic number, because the mean of its divisors is an integer number (265949460).

Almost surely, 213022210310 is an apocalyptic number.

13022210310 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 13022210310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17020765440).

13022210310 is an abundant number, since it is smaller than the sum of its proper divisors (21019320570).

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

13022210310 is a wasteful number, since it uses less digits than its factorization.

13022210310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13022210310 its reverse (1301222031), we get a palindrome (14323432341).

The spelling of 13022210310 in words is "thirteen billion, twenty-two million, two hundred ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 137 185 190 222 274 285 370 411 555 570 685 703 822 1110 1370 1406 2055 2109 2603 3515 4110 4218 4507 5069 5206 7030 7809 9014 10138 10545 13015 13521 15207 15618 21090 22535 25345 26030 27042 30414 39045 45070 50690 67605 76035 78090 85633 96311 135210 152070 166759 171266 192622 256899 288933 333518 428165 481555 500277 513798 577866 617459 833795 856330 963110 1000554 1234918 1284495 1444665 1667590 1852377 2501385 2568990 2889330 3087295 3168421 3704754 5002770 6174590 6336842 9261885 9505263 11731721 15842105 18523770 19010526 22845983 23463442 31684210 35195163 45691966 47526315 58658605 68537949 70390326 95052630 114229915 117317210 137075898 175975815 228459830 342689745 351951630 434073677 685379490 868147354 1302221031 2170368385 2604442062 4340736770 6511105155 13022210310