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13211220220 = 225111922314173
BaseRepresentation
bin11000100110111001…
…10011100011111100
31021002201020112010121
430103130303203330
5204024033021340
610022534144324
7645246343012
oct142334634374
937081215117
1013211220220
11566a431320
1226884b20a4
131327087093
148d482c8b2
15524c7594a
hex3137338fc

13211220220 has 96 divisors (see below), whose sum is σ = 32003758080. Its totient is φ = 4530504960.

The previous prime is 13211220199. The next prime is 13211220221. The reversal of 13211220220 is 2202211231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13211220194 and 13211220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211220221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 925054 + ... + 939226.

It is an arithmetic number, because the mean of its divisors is an integer number (333372480).

Almost surely, 213211220220 is an apocalyptic number.

13211220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16001879040).

13211220220 is an abundant number, since it is smaller than the sum of its proper divisors (18792537860).

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

13211220220 is a wasteful number, since it uses less digits than its factorization.

13211220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14435 (or 14433 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13211220220 its reverse (2202211231), we get a palindrome (15413431451).

The spelling of 13211220220 in words is "thirteen billion, two hundred eleven million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 223 380 418 446 836 892 1045 1115 2090 2230 2453 4180 4237 4460 4906 8474 9812 12265 14173 16948 21185 24530 28346 42370 46607 49060 56692 70865 84740 93214 141730 155903 186428 233035 269287 283460 311806 466070 538574 623612 779515 932140 1077148 1346435 1559030 2692870 2962157 3118060 3160579 5385740 5924314 6321158 11848628 12642316 14810785 15802895 29621570 31605790 34766369 59243140 60051001 63211580 69532738 120102002 139065476 173831845 240204004 300255005 347663690 600510010 660561011 695327380 1201020020 1321122022 2642244044 3302805055 6605610110 13211220220