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1105416821 = 711011391109
BaseRepresentation
bin100000111100011…
…0101001001110101
32212001000222210202
41001320311021311
54230441314241
6301404530245
736251613365
oct10170651165
92761028722
101105416821
11517a85023
1226a250985
131480293c2
14a6b4c9a5
15670a5d9b
hex41e35275

1105416821 has 16 divisors (see below), whose sum is σ = 1141257600. Its totient is φ = 1070328000.

The previous prime is 1105416803. The next prime is 1105416833. The reversal of 1105416821 is 1286145011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1105416821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105410821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996215 + ... + 997323.

It is an arithmetic number, because the mean of its divisors is an integer number (71328600).

Almost surely, 21105416821 is an apocalyptic number.

It is an amenable number.

1105416821 is a deficient number, since it is larger than the sum of its proper divisors (35840779).

1105416821 is a wasteful number, since it uses less digits than its factorization.

1105416821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420.

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 1105416821 is about 33247.8092661757. The cubic root of 1105416821 is about 1033.9717891281.

The spelling of 1105416821 in words is "one billion, one hundred five million, four hundred sixteen thousand, eight hundred twenty-one".

Divisors: 1 71 101 139 1109 7171 9869 14039 78739 112009 154151 996769 7952639 10944721 15569251 1105416821