Search a number
-
+
11111100100101 = 322235536173443
BaseRepresentation
bin1010000110110000000100…
…1011001010111000000101
31110100012200200002112022200
42201230001023022320011
52424021013111200401
635344211404145113
72224515263354601
oct241540113127005
943305620075280
1011111100100101
1135a4211382561
1212b54a4b38199
13627a06808361
142a5acc8c2501
1514405a157686
hexa1b012cae05

11111100100101 has 12 divisors (see below), whose sum is σ = 16121337068928. Its totient is φ = 7374183024744.

The previous prime is 11111100100099. The next prime is 11111100100103. The reversal of 11111100100101 is 10100100111111.

It is an interprime number because it is at equal distance from previous prime (11111100100099) and next prime (11111100100103).

It is not a de Polignac number, because 11111100100101 - 21 = 11111100100099 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111100100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2768084715 + ... + 2768088728.

It is an arithmetic number, because the mean of its divisors is an integer number (1343444755744).

Almost surely, 211111100100101 is an apocalyptic number.

It is an amenable number.

11111100100101 is a deficient number, since it is larger than the sum of its proper divisors (5010236968827).

11111100100101 is a wasteful number, since it uses less digits than its factorization.

11111100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536173672 (or 5536173669 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11111100100101 its reverse (10100100111111), we get a palindrome (21211200211212).

The spelling of 11111100100101 in words is "eleven trillion, one hundred eleven billion, one hundred million, one hundred thousand, one hundred one".

Divisors: 1 3 9 223 669 2007 5536173443 16608520329 49825560987 1234566677789 3703700033367 11111100100101