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213131112222112 = 2577321881914737
BaseRepresentation
bin110000011101011101110100…
…001111000000110110100000
31000221122010122122220120101021
4300131131310033000312200
5210413420004212101422
62033143025320015224
762615133434512510
oct6035356417006640
91027563578816337
10213131112222112
1161a014405950a7
121baa22a2301514
1391c024038b8c6
143a8b85ab15840
151999069036dc7
hexc1d7743c0da0

213131112222112 has 96 divisors (see below), whose sum is σ = 479697437278080. Its totient is φ = 91312875970560.

The previous prime is 213131112222071. The next prime is 213131112222113. The reversal of 213131112222112 is 211222211131312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213131112222113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14462306008 + ... + 14462320744.

It is an arithmetic number, because the mean of its divisors is an integer number (4996848304980).

Almost surely, 2213131112222112 is an apocalyptic number.

It is an amenable number.

213131112222112 is an abundant number, since it is smaller than the sum of its proper divisors (266566325055968).

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

213131112222112 is a wasteful number, since it uses less digits than its factorization.

213131112222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30894 (or 30886 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

Adding to 213131112222112 its reverse (211222211131312), we get a palindrome (424353323353424).

The spelling of 213131112222112 in words is "two hundred thirteen trillion, one hundred thirty-one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 7321 8819 14642 14737 17638 29284 29474 35276 51247 58568 58948 61733 70552 102494 103159 117136 117896 123466 141104 204988 206318 234272 235792 246932 282208 409976 412636 471584 493864 819952 825272 987728 1639904 1650544 1975456 3301088 64563899 107889577 129127798 129965603 215779154 258255596 259931206 431558308 451947293 516511192 519862412 755227039 863116616 903894586 909759221 1033022384 1039724824 1510454078 1726233232 1807789172 1819518442 2066044768 2079449648 3020908156 3452466464 3615578344 3639036884 4158899296 6041816312 7231156688 7278073768 12083632624 14462313376 14556147536 24167265248 29112295072 951478179563 1902956359126 3805912718252 6660347256941 7611825436504 13320694513882 15223650873008 26641389027764 30447301746016 53282778055528 106565556111056 213131112222112