Search a number
-
+
1100400505 = 52927727397
BaseRepresentation
bin100000110010110…
…1100011101111001
32211200121010201021
41001211230131321
54223200304010
6301105222441
736161151511
oct10145543571
92750533637
101100400505
11515169206
12268631a21
13146c91079
14a6204841
15669148da
hex4196c779

1100400505 has 16 divisors (see below), whose sum is σ = 1370995920. Its totient is φ = 846865152.

The previous prime is 1100400493. The next prime is 1100400527. The reversal of 1100400505 is 5050040011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17464041 + 1082936464 = 4179^2 + 32908^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100400505 - 27 = 1100400377 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26467 + ... + 53863.

It is an arithmetic number, because the mean of its divisors is an integer number (85687245).

Almost surely, 21100400505 is an apocalyptic number.

It is an amenable number.

1100400505 is a deficient number, since it is larger than the sum of its proper divisors (270595415).

1100400505 is a wasteful number, since it uses less digits than its factorization.

1100400505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27708.

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1100400505 is about 33172.2851941195. The cubic root of 1100400505 is about 1032.4053830871.

Adding to 1100400505 its reverse (5050040011), we get a palindrome (6150440516).

The spelling of 1100400505 in words is "one billion, one hundred million, four hundred thousand, five hundred five".

Divisors: 1 5 29 145 277 1385 8033 27397 40165 136985 794513 3972565 7588969 37944845 220080101 1100400505