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13220321220 = 22325193865591
BaseRepresentation
bin11000100111111111…
…00001011111000100
31021010100100220100200
430103333201133010
5204033400234340
610023501210500
7645416606361
oct142377413704
937110326320
1013220321220
115674588007
12268b560a30
131328c226a2
148d5b1b468
15525972330
hex313fe17c4

13220321220 has 72 divisors (see below), whose sum is σ = 42212264640. Its totient is φ = 3339869760.

The previous prime is 13220321173. The next prime is 13220321221. The reversal of 13220321220 is 2212302231.

13220321220 is a `hidden beast` number, since 1 + 322 + 0 + 321 + 2 + 20 = 666.

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 = 13220321193 and 13220321202.

It is not an unprimeable number, because it can be changed into a prime (13220321221) 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 23 ways as a sum of consecutive naturals, for example, 1929376 + ... + 1936215.

Almost surely, 213220321220 is an apocalyptic number.

13220321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220321220 is an abundant number, since it is smaller than the sum of its proper divisors (28991943420).

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

13220321220 is a wasteful number, since it uses less digits than its factorization.

13220321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865625 (or 3865620 counting only the distinct ones).

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

Adding to 13220321220 its reverse (2212302231), we get a palindrome (15432623451).

The spelling of 13220321220 in words is "thirteen billion, two hundred twenty million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 3865591 7731182 11596773 15462364 19327955 23193546 34790319 38655910 46387092 57983865 69580638 73446229 77311820 115967730 139161276 146892458 173951595 220338687 231935460 293784916 347903190 367231145 440677374 661016061 695806380 734462290 881354748 1101693435 1322032122 1468924580 2203386870 2644064244 3305080305 4406773740 6610160610 13220321220