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22131311112340 = 22553203331026833
BaseRepresentation
bin1010000100000110110001…
…11011111111000010010100
32220100201210010100000020221
411002003120323333002110
510400044411121043330
6115022552312004124
74442635343406163
oct502033073770224
986321703300227
1022131311112340
117062922185071
122595243390644
13c46c87248841
1456723838b3da
15285a45d5eb7a
hex1420d8eff094

22131311112340 has 48 divisors (see below), whose sum is σ = 47355029317008. Its totient is φ = 8685060061184.

The previous prime is 22131311112319. The next prime is 22131311112371. The reversal of 22131311112340 is 4321111313122.

It can be written as a sum of positive squares in 8 ways, for example, as 2246293527696 + 19885017584644 = 1498764^2 + 4459262^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21039564 + ... + 22066396.

It is an arithmetic number, because the mean of its divisors is an integer number (986563110771).

Almost surely, 222131311112340 is an apocalyptic number.

22131311112340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131311112340 is an abundant number, since it is smaller than the sum of its proper divisors (25223718204668).

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

22131311112340 is a wasteful number, since it uses less digits than its factorization.

22131311112340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047228 (or 1047226 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 22131311112340 its reverse (4321111313122), we get a palindrome (26452422425462).

The spelling of 22131311112340 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred eleven million, one hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 20333 40666 81332 101665 203330 406660 1026833 1077649 2053666 2155298 4107332 4310596 5134165 5388245 10268330 10776490 20536660 21552980 54422149 108844298 217688596 272110745 544221490 1088442980 20878595389 41757190778 83514381556 104392976945 208785953890 417571907780 1106565555617 2213131111234 4426262222468 5532827778085 11065655556170 22131311112340