Search a number
-
+
2213031001 is a prime number
BaseRepresentation
bin1000001111101000…
…0010110001011001
312201020012121211011
42003322002301121
514013013443001
61003332533521
7105561311266
oct20372026131
95636177734
102213031001
11a3621aa45
125191812a1
132936449cc
1416dcb026d
15ce442d51
hex83e82c59

2213031001 has 2 divisors, whose sum is σ = 2213031002. Its totient is φ = 2213031000.

The previous prime is 2213030969. The next prime is 2213031011. The reversal of 2213031001 is 1001303122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1571726025 + 641304976 = 39645^2 + 25324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213031001 - 25 = 2213030969 is a prime.

It is a super-2 number, since 2×22130310012 = 9795012422774124002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2213031011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106515500 + 1106515501.

It is an arithmetic number, because the mean of its divisors is an integer number (1106515501).

Almost surely, 22213031001 is an apocalyptic number.

It is an amenable number.

2213031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213031001 is an equidigital number, since it uses as much as digits as its factorization.

2213031001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2213031001 is about 47042.8634438849. The cubic root of 2213031001 is about 1303.1542735296.

Adding to 2213031001 its reverse (1001303122), we get a palindrome (3214334123).

The spelling of 2213031001 in words is "two billion, two hundred thirteen million, thirty-one thousand, one".