Search a number
-
+
1100031101 = 1384617777
BaseRepresentation
bin100000110010001…
…0010010001111101
32211122220100222122
41001210102101331
54223101443401
6301053252325
736155052521
oct10144222175
92748810878
101100031101
11514a36714
122684940a5
13146b91ba0
14a6149d81
156689021b
hex4191247d

1100031101 has 4 divisors (see below), whose sum is σ = 1184648892. Its totient is φ = 1015413312.

The previous prime is 1100031089. The next prime is 1100031113. The reversal of 1100031101 is 1011300011.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1011300011 = 3132622581.

It is an interprime number because it is at equal distance from previous prime (1100031089) and next prime (1100031113).

It can be written as a sum of positive squares in 2 ways, for example, as 452583076 + 647448025 = 21274^2 + 25445^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1100031101 is a prime.

It is a super-3 number, since 3×11000311013 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100031131) 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 3 ways as a sum of consecutive naturals, for example, 42308876 + ... + 42308901.

It is an arithmetic number, because the mean of its divisors is an integer number (296162223).

Almost surely, 21100031101 is an apocalyptic number.

It is an amenable number.

1100031101 is a deficient number, since it is larger than the sum of its proper divisors (84617791).

1100031101 is an equidigital number, since it uses as much as digits as its factorization.

1100031101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84617790.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 1100031101 is about 33166.7167654563. The cubic root of 1100031101 is about 1032.2898441355.

Adding to 1100031101 its reverse (1011300011), we get a palindrome (2111331112).

The spelling of 1100031101 in words is "one billion, one hundred million, thirty-one thousand, one hundred one".

Divisors: 1 13 84617777 1100031101