Search a number
-
+
1100002223213 is a prime number
BaseRepresentation
bin10000000000011101001…
…111011110010001101101
310220011022001020201101222
4100000131033132101231
5121010301032120323
62201200053113125
7142321036424135
oct20003517362155
93804261221358
101100002223213
1139456563a363
121592306287a5
137c9643a619a
143b3518c5ac5
151d930c8e9c8
hex1001d3de46d

1100002223213 has 2 divisors, whose sum is σ = 1100002223214. Its totient is φ = 1100002223212.

The previous prime is 1100002223171. The next prime is 1100002223251. The reversal of 1100002223213 is 3123222000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1022195815369 + 77806407844 = 1011037^2 + 278938^2 .

It is an emirp because it is prime and its reverse (3123222000011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1100002223213 - 236 = 1031282746477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100002223191 and 1100002223200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100002223273) 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 as a sum of consecutive naturals, namely, 550001111606 + 550001111607.

It is an arithmetic number, because the mean of its divisors is an integer number (550001111607).

Almost surely, 21100002223213 is an apocalyptic number.

It is an amenable number.

1100002223213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100002223213 is an equidigital number, since it uses as much as digits as its factorization.

1100002223213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1100002223213 its reverse (3123222000011), we get a palindrome (4223224223224).

The spelling of 1100002223213 in words is "one trillion, one hundred billion, two million, two hundred twenty-three thousand, two hundred thirteen".