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1041241011041 = 711311017975419
BaseRepresentation
bin11110010011011101100…
…11001111001101100001
310200112121212122212002102
433021232303033031201
5114024430144323131
62114201200300145
7135140631363560
oct17115663171541
93615555585072
101041241011041
113716514509a0
12149971611655
137725b4a135a
143857977bbd7
151c14218a1cb
hexf26eccf361

1041241011041 has 64 divisors (see below), whose sum is σ = 1355262935040. Its totient is φ = 776291040000.

The previous prime is 1041241011037. The next prime is 1041241011043. The reversal of 1041241011041 is 1401101421401.

It is not a de Polignac number, because 1041241011041 - 22 = 1041241011037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1041241011043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192143630 + ... + 192149048.

It is an arithmetic number, because the mean of its divisors is an integer number (21175983360).

Almost surely, 21041241011041 is an apocalyptic number.

1041241011041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1041241011041 is a deficient number, since it is larger than the sum of its proper divisors (314021923999).

1041241011041 is a wasteful number, since it uses less digits than its factorization.

1041241011041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 1041241011041 its reverse (1401101421401), we get a palindrome (2442342432442).

The spelling of 1041241011041 in words is "one trillion, forty-one billion, two hundred forty-one million, eleven thousand, forty-one".

Divisors: 1 7 11 31 77 101 217 341 707 797 1111 2387 3131 5419 5579 7777 8767 21917 24707 34441 37933 59609 61369 80497 167989 172949 241087 271777 417263 547319 563479 885467 1175923 1847879 1902439 2495407 3831233 4318943 6020509 6198269 12935153 16966889 17467849 27449477 30232601 42143563 47508373 118768223 133887233 186635779 192146339 332558611 436213243 937210631 1306450453 1472759563 3053492701 4798345673 10309316941 13522610533 33588419711 94658273731 148748715863 1041241011041