Search a number
-
+
201102011525 = 52101391720333
BaseRepresentation
bin1011101101001010011…
…1010010110010000101
3201020002010220200010002
42323102213102302011
511243324103332100
6232215054011045
720346331615412
oct2732247226205
9636063820102
10201102011525
117831792a828
1232b847a6a85
1315c6b7255bc
149a3a5c5109
1553700a62d5
hex2ed29d2c85

201102011525 has 24 divisors (see below), whose sum is σ = 251912151144. Its totient is φ = 159240224000.

The previous prime is 201102011521. The next prime is 201102011533. The reversal of 201102011525 is 525110201102.

201102011525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 10180204609 + 190921806916 = 100897^2 + 436946^2 .

It is not a de Polignac number, because 201102011525 - 22 = 201102011521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201102011497 and 201102011506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102011521) 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 23 ways as a sum of consecutive naturals, for example, 9880259 + ... + 9900591.

It is an arithmetic number, because the mean of its divisors is an integer number (10496339631).

Almost surely, 2201102011525 is an apocalyptic number.

201102011525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201102011525 is a deficient number, since it is larger than the sum of its proper divisors (50810139619).

201102011525 is a wasteful number, since it uses less digits than its factorization.

201102011525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24361 (or 24356 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 201102011525 its reverse (525110201102), we get a palindrome (726212212627).

The spelling of 201102011525 in words is "two hundred one billion, one hundred two million, eleven thousand, five hundred twenty-five".

Divisors: 1 5 25 101 505 2525 3917 19585 20333 97925 101665 395617 508325 1978085 2053633 9890425 10268165 51340825 79644361 398221805 1991109025 8044080461 40220402305 201102011525