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2000011041 = 337192412311
BaseRepresentation
bin111011100110101…
…1011111100100001
312011101101002101000
41313031123330201
513044000323131
6530243102213
7100363545660
oct16715337441
95141332330
102000011041
11936a54996
12479971969
1325b47c3b2
1414d89cdd7
15ba8b5ce6
hex7735bf21

2000011041 has 64 divisors (see below), whose sum is σ = 3580825600. Its totient is φ = 1077753600.

The previous prime is 2000011031. The next prime is 2000011051. The reversal of 2000011041 is 1401100002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2000011031) and next prime (2000011051).

It is not a de Polignac number, because 2000011041 - 25 = 2000011009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864276 + ... + 866586.

It is an arithmetic number, because the mean of its divisors is an integer number (55950400).

Almost surely, 22000011041 is an apocalyptic number.

2000011041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2000011041 is a deficient number, since it is larger than the sum of its proper divisors (1580814559).

2000011041 is a wasteful number, since it uses less digits than its factorization.

2000011041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2000011041 is about 44721.4829919581. The cubic root of 2000011041 is about 1259.9233683553.

Adding to 2000011041 its reverse (1401100002), we get a palindrome (3401111043).

The spelling of 2000011041 in words is "two billion, eleven thousand, forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 241 399 513 723 1197 1687 2169 2311 3591 4579 5061 6507 6933 13737 15183 16177 20799 32053 41211 43909 45549 48531 62397 96159 123633 131727 145593 288477 307363 395181 436779 556951 865431 922089 1185543 1670853 2766267 3898657 5012559 8298801 10582069 11695971 15037677 31746207 35087913 74074483 95238621 105263739 222223449 285715863 666670347 2000011041