Search a number
-
+
112000001112111 = 37311812413944041
BaseRepresentation
bin11001011101110100001000…
…010001111111100000101111
3112200120002120122111010121110
4121131310020101333200233
5104140002000241041421
61034112031252403103
732406506302466130
oct3135641021774057
9480502518433543
10112000001112111
1132760a2a880582
121068a425916493
134a65729b34a88
141d92b869ddc87
15ce359c85ea76
hex65dd0847f82f

112000001112111 has 64 divisors (see below), whose sum is σ = 177880459108352. Its totient is φ = 61337710080000.

The previous prime is 112000001112091. The next prime is 112000001112133. The reversal of 112000001112111 is 111211100000211.

It is not a de Polignac number, because 112000001112111 - 223 = 111999992723503 is a prime.

It is a super-2 number, since 2×1120000011121112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000001112191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26425251 + ... + 30369291.

It is an arithmetic number, because the mean of its divisors is an integer number (2779382173568).

Almost surely, 2112000001112111 is an apocalyptic number.

112000001112111 is a deficient number, since it is larger than the sum of its proper divisors (65880457996241).

112000001112111 is a wasteful number, since it uses less digits than its factorization.

112000001112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944504.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 112000001112111 its reverse (111211100000211), we get a palindrome (223211101112322).

The spelling of 112000001112111 in words is "one hundred twelve trillion, one million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 3 7 21 31 93 181 217 241 543 651 723 1267 1687 3801 5061 5611 7471 16833 22413 39277 43621 52297 117831 130863 156891 305347 916041 1352251 3944041 4056753 9465757 11832123 27608287 28397271 82824861 122265271 366795813 713871421 855856897 950513881 2141614263 2567570691 2851541643 4997099947 6653597167 14991299841 19960791501 22130014051 29465930311 66390042153 88397790933 154910098357 172043012461 206261512177 464730295071 516129037383 618784536531 1204301087227 3612903261681 5333333386291 16000000158873 37333333704037 112000001112111