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1104011111 = 72433311583
BaseRepresentation
bin100000111001101…
…1101111101100111
32211221101120112102
41001303131331213
54230111323421
6301314442315
736233640200
oct10163357547
92757346472
101104011111
11517204985
1226989339b
13147956618
14a68a45a7
1566dc960b
hex41cddf67

1104011111 has 24 divisors (see below), whose sum is σ = 1318927104. Its totient is φ = 920913840.

The previous prime is 1104011107. The next prime is 1104011113. The reversal of 1104011111 is 1111104011.

It is a happy number.

It is not a de Polignac number, because 1104011111 - 22 = 1104011107 is a prime.

It is a super-2 number, since 2×11040111112 = 2437681066422908642, which contains 22 as substring.

It is a Duffinian number.

1104011111 is a modest number, since divided by 11111 gives 11040 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1104011092 and 1104011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104011113) 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, 696626 + ... + 698208.

It is an arithmetic number, because the mean of its divisors is an integer number (54955296).

Almost surely, 21104011111 is an apocalyptic number.

1104011111 is a deficient number, since it is larger than the sum of its proper divisors (214915993).

1104011111 is a wasteful number, since it uses less digits than its factorization.

1104011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

The square root of 1104011111 is about 33226.6626521533. The cubic root of 1104011111 is about 1033.5333177166.

Adding to 1104011111 its reverse (1111104011), we get a palindrome (2215115122).

It can be divided in two parts, 1104011 and 111, that multiplied together give a palindrome (122545221).

The spelling of 1104011111 in words is "one billion, one hundred four million, eleven thousand, one hundred eleven".

Divisors: 1 7 43 49 301 331 1583 2107 2317 11081 14233 16219 68069 77567 99631 476483 523973 697417 3335381 3667811 22530839 25674677 157715873 1104011111