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1106111061 = 321112299091
BaseRepresentation
bin100000111101101…
…1110101001010101
32212002100021010100
41001323132221111
54231131023221
6301431444313
736260534406
oct10173365125
92762307110
101106111061
11518409680
1226a526699
131482103b3
14a6c8d9ad
1567191926
hex41edea55

1106111061 has 24 divisors (see below), whose sum is σ = 1744572960. Its totient is φ = 669751200.

The previous prime is 1106111047. The next prime is 1106111081. The reversal of 1106111061 is 1601116011.

It is not a de Polignac number, because 1106111061 - 25 = 1106111029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106111081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117126 + ... + 126216.

It is an arithmetic number, because the mean of its divisors is an integer number (72690540).

Almost surely, 21106111061 is an apocalyptic number.

1106111061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1106111061 is a deficient number, since it is larger than the sum of its proper divisors (638461899).

1106111061 is a wasteful number, since it uses less digits than its factorization.

1106111061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The square root of 1106111061 is about 33258.2480145903. The cubic root of 1106111061 is about 1034.1882005128.

Adding to 1106111061 its reverse (1601116011), we get a palindrome (2707227072).

It can be divided in two parts, 11061 and 11061, that added together give a palindrome (22122).

The spelling of 1106111061 in words is "one billion, one hundred six million, one hundred eleven thousand, sixty-one".

Divisors: 1 3 9 11 33 99 1229 3687 9091 11061 13519 27273 40557 81819 100001 121671 300003 900009 11172839 33518517 100555551 122901229 368703687 1106111061