Search a number
-
+
1100012002221 = 311129592572243
BaseRepresentation
bin10000000000011101110…
…100110001101110101101
310220011022201122112200110
4100000131310301232231
5121010311033032341
62201201042450233
7142321215513306
oct20003564615655
93804281575613
101100012002221
11394570109490
12159233963979
137c96641b292
143b352d0d7ad
151d931a72216
hex1001dd31bad

1100012002221 has 16 divisors (see below), whose sum is σ = 1600141547520. Its totient is φ = 666622236720.

The previous prime is 1100012002217. The next prime is 1100012002381. The reversal of 1100012002221 is 1222002100011.

It is not a de Polignac number, because 1100012002221 - 22 = 1100012002217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100012002197 and 1100012002206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100012002421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858475 + ... + 1713768.

It is an arithmetic number, because the mean of its divisors is an integer number (100008846720).

Almost surely, 21100012002221 is an apocalyptic number.

1100012002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100012002221 is a deficient number, since it is larger than the sum of its proper divisors (500129545299).

1100012002221 is a wasteful number, since it uses less digits than its factorization.

1100012002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585216.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100012002221 its reverse (1222002100011), we get a palindrome (2322014102232).

The spelling of 1100012002221 in words is "one trillion, one hundred billion, twelve million, two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 12959 38877 142549 427647 2572243 7716729 28294673 84884019 33333697037 100001091111 366670667407 1100012002221