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2211314013 = 3431387221
BaseRepresentation
bin1000001111001101…
…1111100101011101
312201002222101120000
42003303133211131
514012044022023
61003232044513
7105540600426
oct20363374535
95632871500
102211314013
11a35257a47
12518693739
1329319333c
1416d98464d
15ce204243
hex83cdf95d

2211314013 has 20 divisors (see below), whose sum is σ = 3313912668. Its totient is φ = 1469482560.

The previous prime is 2211313999. The next prime is 2211314023. The reversal of 2211314013 is 3104131122.

It can be written as a sum of positive squares in 2 ways, for example, as 1089198009 + 1122116004 = 33003^2 + 33498^2 .

It is not a de Polignac number, because 2211314013 - 214 = 2211297629 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211314023) 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 19 ways as a sum of consecutive naturals, for example, 18258 + ... + 68963.

Almost surely, 22211314013 is an apocalyptic number.

It is an amenable number.

2211314013 is a deficient number, since it is larger than the sum of its proper divisors (1102598655).

2211314013 is an equidigital number, since it uses as much as digits as its factorization.

2211314013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87546 (or 87537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2211314013 is about 47024.6107160921. The cubic root of 2211314013 is about 1302.8171673682.

Adding to 2211314013 its reverse (3104131122), we get a palindrome (5315445135).

The spelling of 2211314013 in words is "two billion, two hundred eleven million, three hundred fourteen thousand, thirteen".

Divisors: 1 3 9 27 81 313 939 2817 8451 25353 87221 261663 784989 2354967 7064901 27300173 81900519 245701557 737104671 2211314013