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427221313 is a prime number
BaseRepresentation
bin11001011101101…
…110000101000001
31002202220002110121
4121131232011001
51333332040223
6110220500241
713405215121
oct3135560501
91082802417
10427221313
111aa178772
12bb0aa681
136a68289c
1440a4cc81
152778e15d
hex1976e141

427221313 has 2 divisors, whose sum is σ = 427221314. Its totient is φ = 427221312.

The previous prime is 427221259. The next prime is 427221341. The reversal of 427221313 is 313122724.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 356190129 + 71031184 = 18873^2 + 8428^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-427221313 is a prime.

It is a super-3 number, since 3×4272213133 (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (427221913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213610656 + 213610657.

It is an arithmetic number, because the mean of its divisors is an integer number (213610657).

Almost surely, 2427221313 is an apocalyptic number.

It is an amenable number.

427221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

427221313 is an equidigital number, since it uses as much as digits as its factorization.

427221313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 25.

The square root of 427221313 is about 20669.3326694405. The cubic root of 427221313 is about 753.1548957170.

The spelling of 427221313 in words is "four hundred twenty-seven million, two hundred twenty-one thousand, three hundred thirteen".