Search a number
-
+
110021111101 = 1123701245681
BaseRepresentation
bin110011001110111000…
…1001110110100111101
3101111222120010112100201
41212131301032310331
53300310401023401
6122313142123501
710643266004566
oct1463561166475
9344876115321
10110021111101
114272905a200
12193a5a20591
13a4b49abc95
145479d1b16d
152cdddb7b01
hex199dc4ed3d

110021111101 has 12 divisors (see below), whose sum is σ = 120965463612. Its totient is φ = 99991760000.

The previous prime is 110021111099. The next prime is 110021111129. The reversal of 110021111101 is 101111120011.

It can be written as a sum of positive squares in 2 ways, for example, as 28011043225 + 82010067876 = 167365^2 + 286374^2 .

It is not a de Polignac number, because 110021111101 - 21 = 110021111099 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 (110021111191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324981 + ... + 570661.

It is an arithmetic number, because the mean of its divisors is an integer number (10080455301).

Almost surely, 2110021111101 is an apocalyptic number.

110021111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110021111101 is a deficient number, since it is larger than the sum of its proper divisors (10944352511).

110021111101 is a wasteful number, since it uses less digits than its factorization.

110021111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249404 (or 249393 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110021111101 its reverse (101111120011), we get a palindrome (211132231112).

It can be divided in two parts, 110021 and 111101, that added together give a palindrome (221122).

The spelling of 110021111101 in words is "one hundred ten billion, twenty-one million, one hundred eleven thousand, one hundred one".

Divisors: 1 11 121 3701 40711 245681 447821 2702491 29727401 909265381 10001919191 110021111101