Search a number
-
+
122231044113311 = 71931267111099267
BaseRepresentation
bin11011110010101100100001…
…111101110000001110011111
3121000210011200121212220222102
4123302230201331300032133
5112010113134243111221
61111544055543035315
734513621135225220
oct3362544175601637
9530704617786872
10122231044113311
1135a45992932a91
121186124143bb3b
135328451789313
14222802a99b247
15e1e79b1c830b
hex6f2b21f7039f

122231044113311 has 32 divisors (see below), whose sum is σ = 151845089771520. Its totient is φ = 96017530312800.

The previous prime is 122231044113281. The next prime is 122231044113323. The reversal of 122231044113311 is 113311440132221.

It is a cyclic number.

It is not a de Polignac number, because 122231044113311 - 26 = 122231044113247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231044113011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5462900 + ... + 16562166.

It is an arithmetic number, because the mean of its divisors is an integer number (4745159055360).

Almost surely, 2122231044113311 is an apocalyptic number.

122231044113311 is a deficient number, since it is larger than the sum of its proper divisors (29614045658209).

122231044113311 is a wasteful number, since it uses less digits than its factorization.

122231044113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101995.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 122231044113311 its reverse (113311440132221), we get a palindrome (235542484245532).

The spelling of 122231044113311 in words is "one hundred twenty-two trillion, two hundred thirty-one billion, forty-four million, one hundred thirteen thousand, three hundred eleven".

Divisors: 1 7 19 31 133 217 589 2671 4123 18697 50749 82801 355243 579607 1573219 11012533 11099267 77694869 210886073 344077277 1476202511 2408540939 6537468263 29646142157 45762277841 207522995099 563276700983 919030406867 3942936906881 6433212848069 17461577730473 122231044113311