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413233343209 is a prime number
BaseRepresentation
bin1100000001101101010…
…00000110101011101001
31110111121221102212011101
412000312220012223221
523232300213440314
6513500424401401
741566210314361
oct6006650065351
91414557385141
10413233343209
1114a2844a3a85
1268107016261
132cc7716cc3b
141600190d9a1
15ab3858e174
hex6036a06ae9

413233343209 has 2 divisors, whose sum is σ = 413233343210. Its totient is φ = 413233343208.

The previous prime is 413233343153. The next prime is 413233343261. The reversal of 413233343209 is 902343332314.

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., 373989733209 + 39243610000 = 611547^2 + 198100^2 .

It is a cyclic number.

It is not a de Polignac number, because 413233343209 - 213 = 413233335017 is a prime.

It is a super-3 number, since 3×4132333432093 (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (413233343909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206616671604 + 206616671605.

It is an arithmetic number, because the mean of its divisors is an integer number (206616671605).

Almost surely, 2413233343209 is an apocalyptic number.

It is an amenable number.

413233343209 is a deficient number, since it is larger than the sum of its proper divisors (1).

413233343209 is an equidigital number, since it uses as much as digits as its factorization.

413233343209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 37.

The spelling of 413233343209 in words is "four hundred thirteen billion, two hundred thirty-three million, three hundred forty-three thousand, two hundred nine".