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10011143344041 = 3271034093376933
BaseRepresentation
bin1001000110101110011010…
…1001001000111110101001
31022110001111210101210010100
42101223212221020332221
52303010310144002131
633143020013340013
72052165315245640
oct221534651107651
938401453353110
1010011143344041
11320a77a478364
121158287797609
1357807b991318
14268783074357
1512562d3997e6
hex91ae6a48fa9

10011143344041 has 48 divisors (see below), whose sum is σ = 16690902881536. Its totient is φ = 5663713891968.

The previous prime is 10011143344019. The next prime is 10011143344057. The reversal of 10011143344041 is 14044334111001.

10011143344041 is a `hidden beast` number, since 100 + 1 + 114 + 3 + 3 + 440 + 4 + 1 = 666.

10011143344041 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 10011143344041 - 210 = 10011143343017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011143343996 and 10011143344014.

It is not an unprimeable number, because it can be changed into a prime (10011143344441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26371011 + ... + 26747943.

Almost surely, 210011143344041 is an apocalyptic number.

It is an amenable number.

10011143344041 is a deficient number, since it is larger than the sum of its proper divisors (6679759537495).

10011143344041 is a wasteful number, since it uses less digits than its factorization.

10011143344041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381142 (or 381139 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10011143344041 its reverse (14044334111001), we get a palindrome (24055477455042).

The spelling of 10011143344041 in words is "ten trillion, eleven billion, one hundred forty-three million, three hundred forty-four thousand, forty-one".

Divisors: 1 3 7 9 21 63 103 309 721 927 2163 4093 6489 12279 28651 36837 85953 257859 376933 421579 1130799 1264737 2638531 2951053 3392397 3794211 7915593 8853159 23746779 26559477 38824099 116472297 271768693 349416891 815306079 1542786769 2445918237 4628360307 10799507383 13885080921 32398522149 97195566447 158907037207 476721111621 1112349260449 1430163334863 3337047781347 10011143344041