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11141233341 = 372831019041
BaseRepresentation
bin10100110000001000…
…11011101010111101
31001202110012021221220
422120010123222331
5140304123431331
65041311143553
7543042630600
oct123004335275
931673167856
1011141233341
1147a7a32567
1221ab214bb9
131087277184
14779956337
1545318b296
hex29811babd

11141233341 has 48 divisors (see below), whose sum is σ = 17663583168. Its totient is φ = 6226752000.

The previous prime is 11141233331. The next prime is 11141233349. The reversal of 11141233341 is 14333214111.

It is a happy number.

11141233341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11141233341 - 221 = 11139136189 is a prime.

It is a super-2 number, since 2×111412333412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141233349) 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 47 ways as a sum of consecutive naturals, for example, 1227781 + ... + 1236821.

It is an arithmetic number, because the mean of its divisors is an integer number (367991316).

Almost surely, 211141233341 is an apocalyptic number.

It is an amenable number.

11141233341 is a deficient number, since it is larger than the sum of its proper divisors (6522349827).

11141233341 is a wasteful number, since it uses less digits than its factorization.

11141233341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9235 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 11141233341 its reverse (14333214111), we get a palindrome (25474447452).

The spelling of 11141233341 in words is "eleven billion, one hundred forty-one million, two hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 3 7 21 49 83 101 147 249 303 581 707 1743 2121 4067 4949 8383 9041 12201 14847 25149 27123 58681 63287 176043 189861 410767 443009 750403 913141 1232301 1329027 2251209 2739423 5252821 6391987 15758463 19175961 36769747 44743909 75790703 110309241 134231727 227372109 530534921 1591604763 3713744447 11141233341