Search a number
-
+
11111100122101 = 73103391980251
BaseRepresentation
bin1010000110110000000100…
…1011010000001111110101
31110100012200200010122111111
42201230001023100033311
52424021013112401401
635344211404435021
72224515263506000
oct241540113201765
943305620118444
1011111100122101
1135a4211398041
1212b54a4b48a71
13627a06815385
142a5acc8ca537
1514405a15de51
hexa1b012d03f5

11111100122101 has 32 divisors (see below), whose sum is σ = 13086854144000. Its totient is φ = 9428811966000.

The previous prime is 11111100122081. The next prime is 11111100122117. The reversal of 11111100122101 is 10122100111111.

It is not a de Polignac number, because 11111100122101 - 215 = 11111100089333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111100120101) 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 31 ways as a sum of consecutive naturals, for example, 138414226 + ... + 138494476.

It is an arithmetic number, because the mean of its divisors is an integer number (408964192000).

Almost surely, 211111100122101 is an apocalyptic number.

It is an amenable number.

11111100122101 is a deficient number, since it is larger than the sum of its proper divisors (1975754021899).

11111100122101 is an equidigital number, since it uses as much as digits as its factorization.

11111100122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84294 (or 84280 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11111100122101 its reverse (10122100111111), we get a palindrome (21233200233212).

The spelling of 11111100122101 in words is "eleven trillion, one hundred eleven billion, one hundred million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 7 49 103 343 721 3919 5047 27433 35329 80251 192031 403657 561757 1344217 2825599 3932299 8265853 19779193 27526093 57860971 138454351 314503669 405026797 2201525683 2835187579 15410679781 32393877907 107874758467 226757145349 1587300017443 11111100122101