Search a number
-
+
4122240101 = 72193435893
BaseRepresentation
bin1111010110110100…
…0110010001100101
3101122021201111100022
43311231012101211
531420243140401
61521013524525
7204103314500
oct36555062145
911567644308
104122240101
111825996001
12970643745
13509051135
142b1694137
15191d6e71b
hexf5b46465

4122240101 has 12 divisors (see below), whose sum is σ = 4820115852. Its totient is φ = 3515033088.

The previous prime is 4122240077. The next prime is 4122240151. The reversal of 4122240101 is 1010422214.

It can be written as a sum of positive squares in 2 ways, for example, as 731973025 + 3390267076 = 27055^2 + 58226^2 .

It is not a de Polignac number, because 4122240101 - 226 = 4055131237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4122240101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122240151) 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, 208490 + ... + 227403.

It is an arithmetic number, because the mean of its divisors is an integer number (401676321).

Almost surely, 24122240101 is an apocalyptic number.

It is an amenable number.

4122240101 is a deficient number, since it is larger than the sum of its proper divisors (697875751).

4122240101 is a wasteful number, since it uses less digits than its factorization.

4122240101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436100 (or 436093 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4122240101 is about 64204.6735136937. The cubic root of 4122240101 is about 1603.4094096112.

Adding to 4122240101 its reverse (1010422214), we get a palindrome (5132662315).

The spelling of 4122240101 in words is "four billion, one hundred twenty-two million, two hundred forty thousand, one hundred one".

Divisors: 1 7 49 193 1351 9457 435893 3051251 21358757 84127349 588891443 4122240101