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3413131417 is a prime number
BaseRepresentation
bin1100101101110000…
…0100000010011001
322210212102001002201
43023130010002121
523442230201132
61322403130201
7150403065313
oct31334040231
98725361081
103413131417
1114a1695173
127b3073961
13425172ab7
142454287b3
1514e99d2e7
hexcb704099

3413131417 has 2 divisors, whose sum is σ = 3413131418. Its totient is φ = 3413131416.

The previous prime is 3413131363. The next prime is 3413131433. The reversal of 3413131417 is 7141313143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2569577481 + 843553936 = 50691^2 + 29044^2 .

It is an emirp because it is prime and its reverse (7141313143) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3413131417 is a prime.

It is not a weakly prime, because it can be changed into another prime (3413131457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1706565708 + 1706565709.

It is an arithmetic number, because the mean of its divisors is an integer number (1706565709).

Almost surely, 23413131417 is an apocalyptic number.

It is an amenable number.

3413131417 is a deficient number, since it is larger than the sum of its proper divisors (1).

3413131417 is an equidigital number, since it uses as much as digits as its factorization.

3413131417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 3413131417 is about 58422.0114083724. The cubic root of 3413131417 is about 1505.6279564766.

The spelling of 3413131417 in words is "three billion, four hundred thirteen million, one hundred thirty-one thousand, four hundred seventeen".