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11042010441 = 32711731671307
BaseRepresentation
bin10100100100010011…
…11011010101001001
31001111112111020201200
422102021323111021
5140103223313231
65023404334413
7540426353160
oct122211732511
931445436650
1011042010441
114756a21970
122181b44409
13106c8462b7
1476a6c83d7
154495dbbe6
hex29227b549

11042010441 has 96 divisors (see below), whose sum is σ = 20293797888. Its totient is φ = 5619352320.

The previous prime is 11042010439. The next prime is 11042010457. The reversal of 11042010441 is 14401024011.

It is not a de Polignac number, because 11042010441 - 21 = 11042010439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11042010401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8447710 + ... + 8449016.

It is an arithmetic number, because the mean of its divisors is an integer number (211393728).

Almost surely, 211042010441 is an apocalyptic number.

11042010441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11042010441 is a deficient number, since it is larger than the sum of its proper divisors (9251787447).

11042010441 is a wasteful number, since it uses less digits than its factorization.

11042010441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11042010441 its reverse (14401024011), we get a palindrome (25443034452).

The spelling of 11042010441 in words is "eleven billion, forty-two million, ten thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 73 77 99 167 219 231 501 511 657 693 803 1169 1307 1503 1533 1837 2409 3507 3921 4599 5511 5621 7227 9149 10521 11763 12191 12859 14377 16533 16863 27447 36573 38577 43131 50589 82341 85337 95411 100639 109719 115731 129393 134101 218269 256011 286233 301917 402303 654807 667877 768033 858699 905751 938707 1049521 1206909 1527883 1964421 2003631 2400959 2816121 3148563 4583649 6010893 7202877 7346647 8448363 9445689 13750947 15933637 16806713 21608631 22039941 47800911 50420139 66119823 111535459 143402733 151260417 175270007 334606377 525810021 1003819131 1226890049 1577430063 3680670147 11042010441