Search a number
-
+
1100000122111 = 1119241107233271
BaseRepresentation
bin10000000000011101000…
…111011101010011111111
310220011021220021222020101
4100000131013131103333
5121010300012401421
62201155540101531
7142321012523362
oct20003507352377
93804256258211
101100000122111
11394564434810
1215922b9948a7
137c963b1ba27
143b3514da0d9
151d9309c7191
hex1001d1dd4ff

1100000122111 has 96 divisors (see below), whose sum is σ = 1319969903616. Its totient is φ = 908330112000.

The previous prime is 1100000122103. The next prime is 1100000122139. The reversal of 1100000122111 is 1112210000011.

It is not a de Polignac number, because 1100000122111 - 23 = 1100000122103 is a prime.

It is a super-2 number, since 2×11000001221112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100000122511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4059040906 + ... + 4059041176.

It is an arithmetic number, because the mean of its divisors is an integer number (13749686496).

Almost surely, 21100000122111 is an apocalyptic number.

1100000122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100000122111 is a deficient number, since it is larger than the sum of its proper divisors (219969781505).

1100000122111 is a wasteful number, since it uses less digits than its factorization.

1100000122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1100000122111 its reverse (1112210000011), we get a palindrome (2212210122122).

The spelling of 1100000122111 in words is "one trillion, one hundred billion, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 11 19 41 107 209 233 271 361 451 779 1177 2033 2563 2981 3971 4387 4427 5149 8569 9553 11111 14801 22363 24931 28997 38627 48257 48697 56639 63143 83353 84113 97831 105083 122221 162811 181507 211109 274241 318967 424897 473689 550943 694573 916883 925243 1022171 1076141 1188877 1199717 1583707 1996577 2322199 2588863 3448633 4011071 5210579 6060373 6756301 9000091 10467917 11243881 13077647 13196887 17420777 19421249 22588663 22794623 28477493 37934963 44121781 49188397 74319311 99001001 115147087 128369719 213633739 248475293 250740853 277008341 369003731 429184597 541072367 934579543 1412066909 2439024661 3047091751 4059041041 4721030567 5263158479 10280374973 26829271271 57894743269 100000011101 1100000122111