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1000041111 = 321034312503
BaseRepresentation
bin111011100110110…
…110101010010111
32120200202100111200
4323212312222113
54022002303421
6243122203543
733532131516
oct7346665227
92520670450
101000041111
11473551763
1223aab35b3
1312c252b04
1496b5c67d
155cbdd726
hex3b9b6a97

1000041111 has 24 divisors (see below), whose sum is σ = 1462496256. Its totient is φ = 658426320.

The previous prime is 1000041103. The next prime is 1000041131. The reversal of 1000041111 is 1111400001.

It is not a de Polignac number, because 1000041111 - 23 = 1000041103 is a prime.

It is a super-2 number, since 2×10000411112 = 2000164447380228642, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000041093 and 1000041102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000041131) 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 23 ways as a sum of consecutive naturals, for example, 398286 + ... + 400788.

It is an arithmetic number, because the mean of its divisors is an integer number (60937344).

Almost surely, 21000041111 is an apocalyptic number.

1000041111 is a deficient number, since it is larger than the sum of its proper divisors (462455145).

1000041111 is a wasteful number, since it uses less digits than its factorization.

1000041111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1000041111 is about 31623.4266169876. The cubic root of 1000041111 is about 1000.0137034789.

Adding to 1000041111 its reverse (1111400001), we get a palindrome (2111441112).

The spelling of 1000041111 in words is "one billion, forty-one thousand, one hundred eleven".

Divisors: 1 3 9 103 309 431 927 1293 2503 3879 7509 22527 44393 133179 257809 399537 773427 1078793 2320281 3236379 9709137 111115679 333347037 1000041111