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13122113132220 = 22357130677100411
BaseRepresentation
bin1011111011110011101011…
…1001000101011010111100
31201110110110121220101020020
42332330322321011122330
53204443041430212340
643524114320452140
72523020124164211
oct276747271053274
951413417811206
1013122113132220
1141aa069852384
12157b1a117a050
137425438aaa81
14335183c75b08
1517b509dea9d0
hexbef3ae456bc

13122113132220 has 96 divisors (see below), whose sum is σ = 37260994208256. Its totient is φ = 3449798419200.

The previous prime is 13122113132143. The next prime is 13122113132269. The reversal of 13122113132220 is 2223131122131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130633815 + ... + 130734225.

It is an arithmetic number, because the mean of its divisors is an integer number (388135356336).

Almost surely, 213122113132220 is an apocalyptic number.

13122113132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122113132220 is an abundant number, since it is smaller than the sum of its proper divisors (24138881076036).

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

13122113132220 is a wasteful number, since it uses less digits than its factorization.

13122113132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131171 (or 131169 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13122113132220 its reverse (2223131122131), we get a palindrome (15345244254351).

The spelling of 13122113132220 in words is "thirteen trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 30677 61354 92031 100411 122708 153385 184062 200822 301233 306770 368124 401644 460155 502055 602466 613540 920310 1004110 1204932 1506165 1840620 2008220 2178067 3012330 4356134 6024660 6534201 7129181 8712268 10890335 13068402 14258362 21387543 21780670 26136804 28516724 32671005 35645905 42775086 43561340 65342010 71291810 85550172 106937715 130684020 142583620 213875430 427750860 3080308247 6160616494 9240924741 12321232988 15401541235 18481849482 30803082470 36963698964 46204623705 61606164940 92409247410 184818494820 218701885537 437403771074 656105656611 874807542148 1093509427685 1312211313222 2187018855370 2624422626444 3280528283055 4374037710740 6561056566110 13122113132220