Search a number
-
+
100111101101 = 1197110319091
BaseRepresentation
bin101110100111100010…
…1100010110010101101
3100120101220200212022022
41131033011202302231
53120011420213401
6113553532155525
710142563214264
oct1351705426255
9316356625268
10100111101101
1139503119aa0
121749b008ba5
13959583c03b
144bb9b015db
15290dd8371b
hex174f162cad

100111101101 has 16 divisors (see below), whose sum is σ = 109442658816. Its totient is φ = 90818190000.

The previous prime is 100111101073. The next prime is 100111101107. The reversal of 100111101101 is 101101111001.

Adding to 100111101101 its reverse (101101111001), we get a palindrome (201212212102).

It is a cyclic number.

It is not a de Polignac number, because 100111101101 - 222 = 100106906797 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 (100111101107) 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, 11007566 + ... + 11016656.

It is an arithmetic number, because the mean of its divisors is an integer number (6840166176).

Almost surely, 2100111101101 is an apocalyptic number.

100111101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111101101 is a deficient number, since it is larger than the sum of its proper divisors (9331557715).

100111101101 is a wasteful number, since it uses less digits than its factorization.

100111101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104.

The product of its (nonzero) digits is 1, while the sum is 8.

The spelling of 100111101101 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, one hundred one".

Divisors: 1 11 971 1031 9091 10681 11341 100001 1001101 8827361 9372821 11012111 97100971 103101031 9101009191 100111101101