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13412242220 = 2251327155889
BaseRepresentation
bin11000111110110111…
…01001001100101100
31021121201111111110212
430133123221030230
5204432013222340
610054514521552
7653240114666
oct143733511454
937551444425
1013412242220
115762952103
1227238962b8
13135990b600
149133d9536
15537732a65
hex31f6e932c

13412242220 has 72 divisors (see below), whose sum is σ = 30929078880. Its totient is φ = 4882375680.

The previous prime is 13412242213. The next prime is 13412242229. The reversal of 13412242220 is 2224221431.

It is a super-3 number, since 3×134122422203 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13412242229) 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, 212036 + ... + 267924.

It is an arithmetic number, because the mean of its divisors is an integer number (429570540).

Almost surely, 213412242220 is an apocalyptic number.

13412242220 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 13412242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464539440).

13412242220 is an abundant number, since it is smaller than the sum of its proper divisors (17516836660).

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

13412242220 is a wasteful number, since it uses less digits than its factorization.

13412242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55995 (or 55980 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 13412242220 its reverse (2224221431), we get a palindrome (15636463651).

The spelling of 13412242220 in words is "thirteen billion, four hundred twelve million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 169 260 284 338 355 676 710 845 923 1420 1690 1846 3380 3692 4615 9230 11999 18460 23998 47996 55889 59995 111778 119990 223556 239980 279445 558890 726557 1117780 1453114 2906228 3632785 3968119 7265570 7936238 9445241 14531140 15872476 18890482 19840595 37780964 39681190 47226205 51585547 79362380 94452410 103171094 188904820 206342188 257927735 515855470 670612111 1031710940 1341224222 2682448444 3353060555 6706121110 13412242220