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1100132101 = 17233277741
BaseRepresentation
bin100000110010010…
…1010111100000101
32211200002111112101
41001210222330011
54223113211401
6301055352101
736155653135
oct10144527405
92750074471
101100132101
11514aa5592
12268522631
13146bc8b53
14a6174ac5
15668b0101
hex4192af05

1100132101 has 8 divisors (see below), whose sum is σ = 1169849304. Its totient is φ = 1030970880.

The previous prime is 1100132083. The next prime is 1100132147. The reversal of 1100132101 is 1012310011.

It can be written as a sum of positive squares in 4 ways, for example, as 442260900 + 657871201 = 21030^2 + 25649^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1100132101 - 29 = 1100131589 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 (1100132191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134910 + ... + 142831.

It is an arithmetic number, because the mean of its divisors is an integer number (146231163).

Almost surely, 21100132101 is an apocalyptic number.

It is an amenable number.

1100132101 is a deficient number, since it is larger than the sum of its proper divisors (69717203).

1100132101 is a wasteful number, since it uses less digits than its factorization.

1100132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277991.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1100132101 is about 33168.2393412735. The cubic root of 1100132101 is about 1032.3214366009.

Adding to 1100132101 its reverse (1012310011), we get a palindrome (2112442112).

The spelling of 1100132101 in words is "one billion, one hundred million, one hundred thirty-two thousand, one hundred one".

Divisors: 1 17 233 3961 277741 4721597 64713653 1100132101