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402412321200133 is a prime number
BaseRepresentation
bin101101101111111011110101…
…1011101010101100000000101
31221202211020112120012011012101
41123133313223131111200011
5410221110413211401013
63543505400202152101
7150522221312542606
oct13337675335254005
91852736476164171
10402412321200133
1110724811a4a4902
12391722541b2631
131437041bc9650a
147152c08809dad
15317ca045708dd
hex16dfdeb755805

402412321200133 has 2 divisors, whose sum is σ = 402412321200134. Its totient is φ = 402412321200132.

The previous prime is 402412321200119. The next prime is 402412321200167. The reversal of 402412321200133 is 331002123214204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 339104232937089 + 63308088263044 = 18414783^2 + 7956638^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-402412321200133 is a prime.

It is a super-2 number, since 2×4024123212001332 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (402412321240133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201206160600066 + 201206160600067.

It is an arithmetic number, because the mean of its divisors is an integer number (201206160600067).

Almost surely, 2402412321200133 is an apocalyptic number.

It is an amenable number.

402412321200133 is a deficient number, since it is larger than the sum of its proper divisors (1).

402412321200133 is an equidigital number, since it uses as much as digits as its factorization.

402412321200133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 402412321200133 its reverse (331002123214204), we get a palindrome (733414444414337).

The spelling of 402412321200133 in words is "four hundred two trillion, four hundred twelve billion, three hundred twenty-one million, two hundred thousand, one hundred thirty-three".