Search a number
-
+
11100022193 = 13432538713
BaseRepresentation
bin10100101011001110…
…01110010110110001
31001122120122112220002
422111213032112301
5140213101202233
65033235555345
7542032426511
oct122547162661
931576575802
1011100022193
114786744a67
12219945bb55
13107b878290
147742a9841
1544e74a6e8
hex2959ce5b1

11100022193 has 24 divisors (see below), whose sum is σ = 12470675112. Its totient is φ = 9817936128.

The previous prime is 11100022189. The next prime is 11100022207. The reversal of 11100022193 is 39122000111.

It can be written as a sum of positive squares in 4 ways, for example, as 3733576609 + 7366445584 = 61103^2 + 85828^2 .

It is not a de Polignac number, because 11100022193 - 22 = 11100022189 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11100022133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1269605 + ... + 1278317.

It is an arithmetic number, because the mean of its divisors is an integer number (519611463).

Almost surely, 211100022193 is an apocalyptic number.

11100022193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11100022193 is a deficient number, since it is larger than the sum of its proper divisors (1370652919).

11100022193 is an equidigital number, since it uses as much as digits as its factorization.

11100022193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865 (or 8822 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 11100022193 in words is "eleven billion, one hundred million, twenty-two thousand, one hundred ninety-three".

Divisors: 1 13 43 53 559 689 1849 2279 8713 24037 29627 97997 113269 374659 461789 1273961 4870567 6003257 16110337 19856927 209434381 258140051 853847861 11100022193