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11241121331 = 1141101246781
BaseRepresentation
bin10100111100000010…
…11110011000110011
31002000102011010112002
422132001132120303
5141010211340311
65055240124215
7545364645326
oct123601363063
932012133462
1011241121331
114849357920
12221876666b
1310a1b7b9ab
14788d187bd
1545bd1c93b
hex29e05e633

11241121331 has 16 divisors (see below), whose sum is σ = 12686569056. Its totient is φ = 9871200000.

The previous prime is 11241121321. The next prime is 11241121399. The reversal of 11241121331 is 13312114211.

11241121331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11241121331 is a prime.

It is a super-2 number, since 2×112411213312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11241121301) 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, 77840 + ... + 168941.

It is an arithmetic number, because the mean of its divisors is an integer number (792910566).

Almost surely, 211241121331 is an apocalyptic number.

11241121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11241121331 is a deficient number, since it is larger than the sum of its proper divisors (1445447725).

11241121331 is a wasteful number, since it uses less digits than its factorization.

11241121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246934.

The product of its digits is 144, while the sum is 20.

Adding to 11241121331 its reverse (13312114211), we get a palindrome (24553235542).

The spelling of 11241121331 in words is "eleven billion, two hundred forty-one million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 11 41 101 451 1111 4141 45551 246781 2714591 10118021 24924881 111298231 274173691 1021920121 11241121331