Search a number
-
+
1112122011 = 3711213131257
BaseRepresentation
bin100001001001001…
…1010001010011011
32212111122122121010
41002102122022123
54234200401021
6302204345003
736362611140
oct10222321233
92774578533
101112122011
11520844800
12270545163
13149536380
14a79b63c7
156797c976
hex4249a29b

1112122011 has 96 divisors (see below), whose sum is σ = 2029192704. Its totient is φ = 527155200.

The previous prime is 1112122001. The next prime is 1112122019. The reversal of 1112122011 is 1102212111.

It is not a de Polignac number, because 1112122011 - 210 = 1112120987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1112122019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4327195 + ... + 4327451.

It is an arithmetic number, because the mean of its divisors is an integer number (21137424).

Almost surely, 21112122011 is an apocalyptic number.

1112122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1112122011 is a deficient number, since it is larger than the sum of its proper divisors (917070693).

1112122011 is a wasteful number, since it uses less digits than its factorization.

1112122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1112122011 is about 33348.4933842595. The cubic root of 1112122011 is about 1036.0581835387.

Adding to 1112122011 its reverse (1102212111), we get a palindrome (2214334122).

The spelling of 1112122011 in words is "one billion, one hundred twelve million, one hundred twenty-two thousand, eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 131 143 231 257 273 363 393 429 771 847 917 1001 1441 1573 1703 1799 2541 2751 2827 3003 3341 4323 4719 5109 5397 8481 10023 10087 11011 11921 15851 18733 19789 23387 30261 31097 33033 33667 35763 36751 47553 56199 59367 70161 93291 101001 110253 110957 131131 206063 217679 235669 257257 332871 370337 393393 404261 437671 618189 653037 707007 771771 1111011 1212783 1313013 1442441 2592359 2829827 3063697 4073707 4327323 4814381 7777077 8489481 9191091 12221121 14443143 28515949 33700667 52958191 85547847 101102001 158874573 370707337 1112122011