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2211313113 = 32245701457
BaseRepresentation
bin1000001111001101…
…1111010111011001
312201002222100022200
42003303133113121
514012044004423
61003232040413
7105540565002
oct20363372731
95632870280
102211313113
11a352572a9
12518693109
13293192ac9
1416d9841a9
15ce203d43
hex83cdf5d9

2211313113 has 6 divisors (see below), whose sum is σ = 3194118954. Its totient is φ = 1474208736.

The previous prime is 2211313073. The next prime is 2211313187. The reversal of 2211313113 is 3113131122.

2211313113 is a `hidden beast` number, since 221 + 131 + 311 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2040148224 + 171164889 = 45168^2 + 13083^2 .

It is not a de Polignac number, because 2211313113 - 217 = 2211182041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2211313213) 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 in 5 ways as a sum of consecutive naturals, for example, 122850720 + ... + 122850737.

It is an arithmetic number, because the mean of its divisors is an integer number (532353159).

Almost surely, 22211313113 is an apocalyptic number.

It is an amenable number.

2211313113 is a deficient number, since it is larger than the sum of its proper divisors (982805841).

2211313113 is a wasteful number, since it uses less digits than its factorization.

2211313113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245701463 (or 245701460 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2211313113 is about 47024.6011466339. The cubic root of 2211313113 is about 1302.8169906203.

Adding to 2211313113 its reverse (3113131122), we get a palindrome (5324444235).

The spelling of 2211313113 in words is "two billion, two hundred eleven million, three hundred thirteen thousand, one hundred thirteen".

Divisors: 1 3 9 245701457 737104371 2211313113