Search a number
-
+
112221023331131 = 114132932012299
BaseRepresentation
bin11001100001000001111110…
…001110110110001100111011
3112201100020002001210012020022
4121201001332032312030323
5104202112123433044011
61034401343145521055
732431462400401331
oct3141017616661473
9481306061705208
10112221023331131
113283673a090000
12107052297a318b
134a805215481b0
141d9d752a59b51
15ce91d666e8db
hex66107e3b633b

112221023331131 has 40 divisors (see below), whose sum is σ = 133391704614000. Its totient is φ = 93850037075520.

The previous prime is 112221023331101. The next prime is 112221023331139. The reversal of 112221023331131 is 131133320122211.

It is not a de Polignac number, because 112221023331131 - 226 = 112220956222267 is a prime.

It is a super-2 number, since 2×1122210233311312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112221023331131.

It is not an unprimeable number, because it can be changed into a prime (112221023331139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54761420 + ... + 56773718.

It is an arithmetic number, because the mean of its divisors is an integer number (3334792615350).

Almost surely, 2112221023331131 is an apocalyptic number.

112221023331131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112221023331131 is a deficient number, since it is larger than the sum of its proper divisors (21170681282869).

112221023331131 is an equidigital number, since it uses as much as digits as its factorization.

112221023331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012649 (or 2012616 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 112221023331131 its reverse (131133320122211), we get a palindrome (243354343453342).

The spelling of 112221023331131 in words is "one hundred twelve trillion, two hundred twenty-one billion, twenty-three million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 11 13 121 143 293 1331 1573 3223 3809 14641 17303 35453 41899 190333 389983 460889 2012299 4289813 5069779 22135289 26159887 55767569 243488179 287758757 589603607 2678369969 3165346327 6485639677 7664846891 29462069659 34818809597 71342036447 84313315801 383006905567 784762400917 927446473811 8632386410087 10201911211921 112221023331131