Search a number
-
+
1121000101 = 13670912853
BaseRepresentation
bin100001011010001…
…0001101010100101
32220010100201001021
41002310101222211
54243434000401
6303122531141
736531225604
oct10264215245
92803321037
101121000101
11525858a71
12273506ab1
1314b324390
14a8c47a3b
15686332a1
hex42d11aa5

1121000101 has 8 divisors (see below), whose sum is σ = 1207504760. Its totient is φ = 1034534592.

The previous prime is 1121000093. The next prime is 1121000119. The reversal of 1121000101 is 1010001211.

It can be written as a sum of positive squares in 4 ways, for example, as 23668225 + 1097331876 = 4865^2 + 33126^2 .

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

It is not a de Polignac number, because 1121000101 - 23 = 1121000093 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 (1121000131) 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, 80791 + ... + 93643.

It is an arithmetic number, because the mean of its divisors is an integer number (150938095).

Almost surely, 21121000101 is an apocalyptic number.

It is an amenable number.

1121000101 is a deficient number, since it is larger than the sum of its proper divisors (86504659).

1121000101 is a wasteful number, since it uses less digits than its factorization.

1121000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19575.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1121000101 is about 33481.3395938693. The cubic root of 1121000101 is about 1038.8078366567.

Adding to 1121000101 its reverse (1010001211), we get a palindrome (2131001312).

The spelling of 1121000101 in words is "one billion, one hundred twenty-one million, one hundred one", and thus it is an aban number.

Divisors: 1 13 6709 12853 87217 167089 86230777 1121000101