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2214351313 is a prime number
BaseRepresentation
bin1000001111111100…
…0101000111010001
312201022200200221121
42003333011013101
514013333220223
61003421122241
7105605450506
oct20377050721
95638620847
102214351313
11a36a41a09
125196b9381
132939b7965
141701354ad
15ce60415d
hex83fc51d1

2214351313 has 2 divisors, whose sum is σ = 2214351314. Its totient is φ = 2214351312.

The previous prime is 2214351311. The next prime is 2214351317. The reversal of 2214351313 is 3131534122.

It is a happy number.

2214351313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1951165584 + 263185729 = 44172^2 + 16223^2 .

It is a cyclic number.

It is not a de Polignac number, because 2214351313 - 21 = 2214351311 is a prime.

It is a super-3 number, since 3×22143513133 (a number of 29 digits) contains 333 as substring.

Together with 2214351311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2214351311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1107175656 + 1107175657.

It is an arithmetic number, because the mean of its divisors is an integer number (1107175657).

Almost surely, 22214351313 is an apocalyptic number.

It is an amenable number.

2214351313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2214351313 is an equidigital number, since it uses as much as digits as its factorization.

2214351313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2160, while the sum is 25.

The square root of 2214351313 is about 47056.8944257906. The cubic root of 2214351313 is about 1303.4133794299.

Adding to 2214351313 its reverse (3131534122), we get a palindrome (5345885435).

It can be divided in two parts, 221 and 4351313, that added together give a palindrome (4351534).

The spelling of 2214351313 in words is "two billion, two hundred fourteen million, three hundred fifty-one thousand, three hundred thirteen".