Search a number
-
+
122100110101 = 4767241349461
BaseRepresentation
bin111000110110110111…
…0111101001100010101
3102200011100220020222001
41301231232331030111
54000030112010401
6132031513035301
711551516545244
oct1615556751425
9380140806861
10122100110101
1147867368a02
121b7b70b5b31
13b68b313378
145ca422095b
153299540601
hex1c6dbbd315

122100110101 has 32 divisors (see below), whose sum is σ = 127724889600. Its totient is φ = 116640691200.

The previous prime is 122100110087. The next prime is 122100110107. The reversal of 122100110101 is 101011001221.

It is a cyclic number.

It is not a de Polignac number, because 122100110101 - 27 = 122100109973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100110107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264859011 + ... + 264859471.

It is an arithmetic number, because the mean of its divisors is an integer number (3991402800).

Almost surely, 2122100110101 is an apocalyptic number.

It is an amenable number.

122100110101 is a deficient number, since it is larger than the sum of its proper divisors (5624779499).

122100110101 is a wasteful number, since it uses less digits than its factorization.

122100110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165.

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

Adding to 122100110101 its reverse (101011001221), we get a palindrome (223111111322).

The spelling of 122100110101 in words is "one hundred twenty-two billion, one hundred million, one hundred ten thousand, one hundred one".

Divisors: 1 47 67 241 349 461 3149 11327 16147 16403 21667 23383 30887 84109 111101 160889 758909 1099001 1451689 3953123 5221747 5635303 7443767 7561783 10779563 38774249 264859241 349857049 506639461 1822389703 2597874683 122100110101