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2211201313 is a prime number
BaseRepresentation
bin1000001111001100…
…0100000100100001
312201002202122221221
42003303010010201
514012031420223
61003225415041
7105536621026
oct20363040441
95632678857
102211201313
11a35190302
1251863a481
13293153c59
1416d95554d
15ce1d0b5d
hex83cc4121

2211201313 has 2 divisors, whose sum is σ = 2211201314. Its totient is φ = 2211201312.

The previous prime is 2211201283. The next prime is 2211201337. The reversal of 2211201313 is 3131021122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1443468049 + 767733264 = 37993^2 + 27708^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211201313 - 25 = 2211201281 is a prime.

It is a super-2 number, since 2×22112013132 = 9778822493225847938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2211201353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105600656 + 1105600657.

It is an arithmetic number, because the mean of its divisors is an integer number (1105600657).

Almost surely, 22211201313 is an apocalyptic number.

It is an amenable number.

2211201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211201313 is an equidigital number, since it uses as much as digits as its factorization.

2211201313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2211201313 is about 47023.4123921265. The cubic root of 2211201313 is about 1302.7950342250.

Adding to 2211201313 its reverse (3131021122), we get a palindrome (5342222435).

The spelling of 2211201313 in words is "two billion, two hundred eleven million, two hundred one thousand, three hundred thirteen".