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2424401101 = 531133171277
BaseRepresentation
bin1001000010000001…
…0110110011001101
320020221221100002101
42100200112303031
514431121313401
61040323155101
7114036032533
oct22040266315
96227840071
102424401101
111034569481
12577b15a91
132c8380385
1418ddb2153
15e2c96101
hex90816ccd

2424401101 has 16 divisors (see below), whose sum is σ = 2501823024. Its totient is φ = 2348329984.

The previous prime is 2424401099. The next prime is 2424401117. The reversal of 2424401101 is 1011044242.

It can be written as a sum of positive squares in 8 ways, for example, as 376748100 + 2047653001 = 19410^2 + 45251^2 .

It is a cyclic number.

It is not a de Polignac number, because 2424401101 - 21 = 2424401099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424431101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1897875 + ... + 1899151.

It is an arithmetic number, because the mean of its divisors is an integer number (156363939).

Almost surely, 22424401101 is an apocalyptic number.

It is an amenable number.

2424401101 is a deficient number, since it is larger than the sum of its proper divisors (77421923).

2424401101 is a wasteful number, since it uses less digits than its factorization.

2424401101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2424401101 is about 49238.2077354568. The cubic root of 2424401101 is about 1343.3880812630.

Adding to 2424401101 its reverse (1011044242), we get a palindrome (3435445343).

The spelling of 2424401101 in words is "two billion, four hundred twenty-four million, four hundred one thousand, one hundred one".

Divisors: 1 53 113 317 1277 5989 16801 35821 67681 144301 404809 1898513 7647953 21454877 45743417 2424401101