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213211101001 is a prime number
BaseRepresentation
bin1100011010010001011…
…1110011011101001001
3202101100001022011002111
43012210113303131021
511443124020213001
6241540421502321
721255366312313
oct3064427633511
9671301264074
10213211101001
1182471120998
12353a3b719a1
131714b363bc2
14a4688bc7b3
15582d1c4851
hex31a45f3749

213211101001 has 2 divisors, whose sum is σ = 213211101002. Its totient is φ = 213211101000.

The previous prime is 213211100989. The next prime is 213211101029. The reversal of 213211101001 is 100101112312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130646825401 + 82564275600 = 361451^2 + 287340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213211101001 is a prime.

It is not a weakly prime, because it can be changed into another prime (213211101031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106605550500 + 106605550501.

It is an arithmetic number, because the mean of its divisors is an integer number (106605550501).

Almost surely, 2213211101001 is an apocalyptic number.

It is an amenable number.

213211101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213211101001 is an equidigital number, since it uses as much as digits as its factorization.

213211101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 213211101001 its reverse (100101112312), we get a palindrome (313312213313).

The spelling of 213211101001 in words is "two hundred thirteen billion, two hundred eleven million, one hundred one thousand, one".