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2211313001 is a prime number
BaseRepresentation
bin1000001111001101…
…1111010101101001
312201002222100011112
42003303133111221
514012044004001
61003232040105
7105540564452
oct20363372551
95632870145
102211313001
11a35257207
12518693035
13293192a41
1416d984129
15ce203cbb
hex83cdf569

2211313001 has 2 divisors, whose sum is σ = 2211313002. Its totient is φ = 2211313000.

The previous prime is 2211312973. The next prime is 2211313003. The reversal of 2211313001 is 1003131122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2173797376 + 37515625 = 46624^2 + 6125^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211313001 - 214 = 2211296617 is a prime.

Together with 2211313003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2211313003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105656500 + 1105656501.

It is an arithmetic number, because the mean of its divisors is an integer number (1105656501).

Almost surely, 22211313001 is an apocalyptic number.

It is an amenable number.

2211313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211313001 is an equidigital number, since it uses as much as digits as its factorization.

2211313001 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 14.

The square root of 2211313001 is about 47024.5999557678. The cubic root of 2211313001 is about 1302.8169686250.

Adding to 2211313001 its reverse (1003131122), we get a palindrome (3214444123).

The spelling of 2211313001 in words is "two billion, two hundred eleven million, three hundred thirteen thousand, one".