Search a number
-
+
22001112101111 = 111341181187311069
BaseRepresentation
bin1010000000010100010000…
…11110001011000011110111
32212220021201022220221112212
411000022020132023003313
510340431234144213421
6114443101003204035
74430346032153153
oct500121036130367
985807638827485
1022001112101111
11701268a238950
122573b67b1661b
13c37908074ab0
14560c066ba063
152824757d9e5b
hex14028878b0f7

22001112101111 has 64 divisors (see below), whose sum is σ = 26640794194560. Its totient is φ = 17901471744000.

The previous prime is 22001112100997. The next prime is 22001112101147. The reversal of 22001112101111 is 11110121110022.

It is not a de Polignac number, because 22001112101111 - 214 = 22001112084727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001112101611) 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 63 ways as a sum of consecutive naturals, for example, 1987627685 + ... + 1987638753.

It is an arithmetic number, because the mean of its divisors is an integer number (416262409290).

Almost surely, 222001112101111 is an apocalyptic number.

22001112101111 is a deficient number, since it is larger than the sum of its proper divisors (4639682093449).

22001112101111 is a wasteful number, since it uses less digits than its factorization.

22001112101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13188.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 22001112101111 its reverse (11110121110022), we get a palindrome (33111233211133).

The spelling of 22001112101111 in words is "twenty-two trillion, one billion, one hundred twelve million, one hundred one thousand, one hundred eleven".

Divisors: 1 11 13 41 143 181 451 533 1873 1991 2353 5863 7421 11069 20603 24349 25883 76793 81631 96473 121759 143897 267839 339013 453829 844723 998309 1061203 1582867 2003489 3729143 4407169 4992119 5899777 10981399 13899533 20732237 22038379 26045357 48478859 64897547 82143049 152894863 180693929 228054607 269519081 286498927 850021717 903573539 1067859637 1987633219 2964709891 3752534897 9350238887 11050282321 11746456007 41277883867 48782953661 121553105531 153853930777 536612490271 1692393238547 2000101100101 22001112101111