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120441343341 = 31113735297549
BaseRepresentation
bin111000000101011011…
…1010000110101101101
3102111212202122011202010
41300022313100311231
53433130440441331
6131155135551433
711462435345454
oct1601267206555
9374782564663
10120441343341
1147095aa8990
121b41368b579
13b485772a87
145b87bcdb9b
1531edad3e46
hex1c0add0d6d

120441343341 has 32 divisors (see below), whose sum is σ = 176539536000. Its totient is φ = 72431815680.

The previous prime is 120441343303. The next prime is 120441343357. The reversal of 120441343341 is 143343144021.

It is not a de Polignac number, because 120441343341 - 27 = 120441343213 is a prime.

It is a super-2 number, since 2×1204413433412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120441343299 and 120441343308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120441341341) 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 31 ways as a sum of consecutive naturals, for example, 15950835 + ... + 15958383.

It is an arithmetic number, because the mean of its divisors is an integer number (5516860500).

Almost surely, 2120441343341 is an apocalyptic number.

120441343341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120441343341 is a deficient number, since it is larger than the sum of its proper divisors (56098192659).

120441343341 is a wasteful number, since it uses less digits than its factorization.

120441343341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 120441343341 its reverse (143343144021), we get a palindrome (263784487362).

The spelling of 120441343341 in words is "one hundred twenty billion, four hundred forty-one million, three hundred forty-three thousand, three hundred forty-one".

Divisors: 1 3 11 33 137 411 1507 3529 4521 7549 10587 22647 38819 83039 116457 249117 483473 1034213 1450419 3102639 5318203 11376343 15954609 26640421 34129029 79921263 293044631 879133893 3649737677 10949213031 40147114447 120441343341