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1100103961 = 11234679311
BaseRepresentation
bin100000110010010…
…0100000100011001
32211200001001221011
41001210210010121
54223111311321
6301055013521
736155505115
oct10144440431
92750031834
101100103961
11514a86430
1226850a2a1
13146bb90b8
14a6168745
15668a6ae1
hex41924119

1100103961 has 16 divisors (see below), whose sum is σ = 1255108608. Its totient is φ = 954461200.

The previous prime is 1100103947. The next prime is 1100103967. The reversal of 1100103961 is 1693010011.

It is a happy number.

It is not a de Polignac number, because 1100103961 - 29 = 1100103449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100103967) 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, 113496 + ... + 122806.

It is an arithmetic number, because the mean of its divisors is an integer number (78444288).

Almost surely, 21100103961 is an apocalyptic number.

1100103961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100103961 is a deficient number, since it is larger than the sum of its proper divisors (155004647).

1100103961 is a wasteful number, since it uses less digits than its factorization.

1100103961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9812.

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 1100103961 is about 33167.8151375697. The cubic root of 1100103961 is about 1032.3126346965.

Adding to 1100103961 its reverse (1693010011), we get a palindrome (2793113972).

The spelling of 1100103961 in words is "one billion, one hundred million, one hundred three thousand, nine hundred sixty-one".

Divisors: 1 11 23 253 467 5137 9311 10741 102421 118151 214153 2355683 4348237 47830607 100009451 1100103961