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1000011201111 = 3313113233241449
BaseRepresentation
bin11101000110101010100…
…11111111101001010111
310112121012111111111112000
432203111103333221113
5112341010331413421
62043222050330343
7132151131650226
oct16432523775127
93477174444460
101000011201111
1135611428650a
121419858899b3
13733ba6bb010
1436587b20cbd
151b02c72a226
hexe8d54ffa57

1000011201111 has 128 divisors (see below), whose sum is σ = 1626809184000. Its totient is φ = 603460730880.

The previous prime is 1000011201109. The next prime is 1000011201191. The reversal of 1000011201111 is 1111021100001.

It is not a de Polignac number, because 1000011201111 - 21 = 1000011201109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000011201093 and 1000011201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000011201191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2227196215 + ... + 2227196663.

It is an arithmetic number, because the mean of its divisors is an integer number (12709446750).

Almost surely, 21000011201111 is an apocalyptic number.

1000011201111 is a deficient number, since it is larger than the sum of its proper divisors (626797982889).

1000011201111 is a wasteful number, since it uses less digits than its factorization.

1000011201111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1000011201111 its reverse (1111021100001), we get a palindrome (2111032301112).

The spelling of 1000011201111 in words is "one trillion, eleven million, two hundred one thousand, one hundred eleven".

Divisors: 1 3 9 13 27 39 113 117 233 241 339 351 449 699 723 1017 1347 1469 2097 2169 3029 3051 3133 4041 4407 5837 6291 6507 9087 9399 12123 13221 17511 26329 27233 27261 28197 39663 50737 52533 56153 78987 81699 81783 84591 104617 108209 152211 157599 168459 236961 245097 313851 324627 342277 354029 456633 505377 659581 710883 729989 735291 941553 973881 1026831 1062087 1360021 1369899 1406717 1516131 1978743 2189967 2824659 2921643 3080493 3186261 4080063 4220151 5936229 6345289 6569901 9241479 9558783 11821721 12227617 12240189 12660453 17808687 19035867 19709703 25212697 35465163 36682851 36720567 37981359 57107601 75638091 82488757 106395489 110048553 153682373 158959021 171322803 226914273 247466271 319186467 327765061 330145659 461047119 476877063 680742819 742398813 983295183 1383141357 1430631189 2227196439 2849034761 2949885549 4149424071 4291893567 8547104283 8849656647 25641312849 37037451893 76923938547 111112355679 333337067037 1000011201111