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12413441220 = 2235731372151
BaseRepresentation
bin10111000111110011…
…00001010011000100
31012001010002011002020
423203321201103010
5200410320104340
65411435043140
7616421336505
oct134371412304
935033064066
1012413441220
1152a0078134
1224a52a04b0
13122aa010bb
1485a8c0bac
154c9bdb9d0
hex2e3e614c4

12413441220 has 144 divisors (see below), whose sum is σ = 35727877248. Its totient is φ = 3219609600.

The previous prime is 12413441179. The next prime is 12413441273. The reversal of 12413441220 is 2214431421.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82208145 + ... + 82208295.

Almost surely, 212413441220 is an apocalyptic number.

12413441220 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 12413441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17863938624).

12413441220 is an abundant number, since it is smaller than the sum of its proper divisors (23314436028).

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

12413441220 is a wasteful number, since it uses less digits than its factorization.

12413441220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12413441220 its reverse (2214431421), we get a palindrome (14627872641).

The spelling of 12413441220 in words is "twelve billion, four hundred thirteen million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 137 146 151 219 274 292 302 365 411 438 453 548 604 685 730 755 822 876 906 1095 1370 1460 1510 1644 1812 2055 2190 2265 2740 3020 4110 4380 4530 8220 9060 10001 11023 18769 20002 20687 22046 30003 33069 37538 40004 41374 44092 50005 55115 56307 60006 62061 66138 75076 82748 93845 100010 103435 110230 112614 120012 124122 132276 150015 165345 187690 200020 206870 220460 225228 248244 281535 300030 310305 330690 375380 413740 563070 600060 620610 661380 1126140 1241220 1370137 1510151 2740274 2834119 3020302 4110411 4530453 5480548 5668238 6040604 6850685 7550755 8220822 8502357 9060906 11336476 13701370 14170595 15101510 16441644 17004714 18121812 20552055 22652265 27402740 28341190 30203020 34009428 41104110 42511785 45304530 56682380 82208220 85023570 90609060 170047140 206890687 413781374 620672061 827562748 1034453435 1241344122 2068906870 2482688244 3103360305 4137813740 6206720610 12413441220