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13320212022 = 2341326324049
BaseRepresentation
bin11000110011111001…
…00100111000110110
31021101022022212210000
430121330210320312
5204234433241042
610041430212130
7651041635245
oct143174447066
937338285700
1013320212022
115715a04497
1226b8ab4046
131343828580
149050c095c
1552e60474c
hex319f24e36

13320212022 has 80 divisors (see below), whose sum is σ = 32266634400. Its totient is φ = 4082773248.

The previous prime is 13320211999. The next prime is 13320212027. The reversal of 13320212022 is 22021202331.

It is a super-2 number, since 2×133202120222 (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 a junction number, because it is equal to n+sod(n) for n = 13320211986 and 13320212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320212027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 541854 + ... + 565902.

It is an arithmetic number, because the mean of its divisors is an integer number (403332930).

Almost surely, 213320212022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133317200).

13320212022 is an abundant number, since it is smaller than the sum of its proper divisors (18946422378).

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

13320212022 is a wasteful number, since it uses less digits than its factorization.

13320212022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24339 (or 24330 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13320212022 its reverse (22021202331), we get a palindrome (35341414353).

The spelling of 13320212022 in words is "thirteen billion, three hundred twenty million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 263 351 526 702 789 1053 1578 2106 2367 3419 4734 6838 7101 10257 14202 20514 21303 24049 30771 42606 48098 61542 72147 92313 144294 184626 216441 276939 312637 432882 553878 625274 649323 937911 1298646 1875822 1947969 2813733 3895938 5627466 6324887 8441199 12649774 16882398 18974661 25323597 37949322 50647194 56923983 82223531 113847966 164447062 170771949 246670593 341543898 493341186 512315847 740011779 1024631694 1480023558 2220035337 4440070674 6660106011 13320212022