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11240214401 = 135322771867
BaseRepresentation
bin10100111011111100…
…00000111110000001
31002000100110001110002
422131332000332001
5141004443330101
65055204445345
7545354150243
oct123576007601
932010401402
1011240214401
114848898499
1222183a9855
1310a1921c50
14788b60093
1545bbddd6b
hex29df80f81

11240214401 has 16 divisors (see below), whose sum is σ = 12387743424. Its totient is φ = 10134830784.

The previous prime is 11240214341. The next prime is 11240214407. The reversal of 11240214401 is 10441204211.

11240214401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11240214401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11240214407) 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 15 ways as a sum of consecutive naturals, for example, 120470 + ... + 192336.

It is an arithmetic number, because the mean of its divisors is an integer number (774233964).

Almost surely, 211240214401 is an apocalyptic number.

It is an amenable number.

11240214401 is a deficient number, since it is larger than the sum of its proper divisors (1147529023).

11240214401 is a wasteful number, since it uses less digits than its factorization.

11240214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72160.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11240214401 its reverse (10441204211), we get a palindrome (21681418612).

The spelling of 11240214401 in words is "eleven billion, two hundred forty million, two hundred fourteen thousand, four hundred one".

Divisors: 1 13 53 227 689 2951 12031 71867 156403 934271 3808951 16313809 49516363 212079517 864631877 11240214401