Search a number
-
+
101110220111 = 3131300124847
BaseRepresentation
bin101111000101010100…
…0111000010101001111
3100122222112201100221002
41132022220320111033
53124033204020421
6114241022530515
710206414455555
oct1361250702517
9318875640832
10101110220111
11399760a098a
1217719736a3b
1396c482b214
144c7269dbd5
15296b93db0b
hex178aa3854f

101110220111 has 8 divisors (see below), whose sum is σ = 101445140544. Its totient is φ = 100775376000.

The previous prime is 101110220063. The next prime is 101110220149. The reversal of 101110220111 is 111022011101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101110220111 - 234 = 83930350927 is a prime.

It is a super-2 number, since 2×1011102201112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110220092 and 101110220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110220311) 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 7 ways as a sum of consecutive naturals, for example, 4056890 + ... + 4081736.

It is an arithmetic number, because the mean of its divisors is an integer number (12680642568).

Almost surely, 2101110220111 is an apocalyptic number.

101110220111 is a deficient number, since it is larger than the sum of its proper divisors (334920433).

101110220111 is a wasteful number, since it uses less digits than its factorization.

101110220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38161.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101110220111 its reverse (111022011101), we get a palindrome (212132231212).

The spelling of 101110220111 in words is "one hundred one billion, one hundred ten million, two hundred twenty thousand, one hundred eleven".

Divisors: 1 313 13001 24847 4069313 7777111 323035847 101110220111