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1034144111 = 711136191669
BaseRepresentation
bin111101101000111…
…100100101101111
32200001220222000202
4331220330211233
54104220102421
6250341144115
734425036260
oct7550744557
92601828022
101034144111
11490824860
1224a3bb03b
131363334c0
149b4b8967
1560bc810b
hex3da3c96f

1034144111 has 32 divisors (see below), whose sum is σ = 1391577600. Its totient is φ = 742193280.

The previous prime is 1034144081. The next prime is 1034144161. The reversal of 1034144111 is 1114414301.

It is a cyclic number.

It is not a de Polignac number, because 1034144111 - 26 = 1034144047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034144161) 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 31 ways as a sum of consecutive naturals, for example, 618785 + ... + 620453.

It is an arithmetic number, because the mean of its divisors is an integer number (43486800).

Almost surely, 21034144111 is an apocalyptic number.

1034144111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1034144111 is a deficient number, since it is larger than the sum of its proper divisors (357433489).

1034144111 is a wasteful number, since it uses less digits than its factorization.

1034144111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1034144111 is about 32158.1111230122. Note that the first 4 decimals coincide. The cubic root of 1034144111 is about 1011.2542373296.

Adding to 1034144111 its reverse (1114414301), we get a palindrome (2148558412).

The spelling of 1034144111 in words is "one billion, thirty-four million, one hundred forty-four thousand, one hundred eleven".

Divisors: 1 7 11 13 77 91 143 619 1001 1669 4333 6809 8047 11683 18359 21697 47663 56329 88517 128513 151879 238667 619619 1033111 1670669 7231777 11364221 13430443 79549547 94013101 147734873 1034144111