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114433422000329 is a prime number
BaseRepresentation
bin11010000001001110011011…
…011110000000000011001001
3120000011201122221012101101002
4122001032123132000003021
5104444334122013002304
61043213553251304345
733050353605660125
oct3201163336000311
9500151587171332
10114433422000329
1133509a3a49a733
1210a01b695ab0b5
134bb1043a29b83
142038870144585
15d36a2134131e
hex68139b7800c9

114433422000329 has 2 divisors, whose sum is σ = 114433422000330. Its totient is φ = 114433422000328.

The previous prime is 114433422000283. The next prime is 114433422000341. The reversal of 114433422000329 is 923000224334411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79458593742025 + 34974828258304 = 8913955^2 + 5913952^2 .

It is a cyclic number.

It is not a de Polignac number, because 114433422000329 - 212 = 114433421996233 is a prime.

It is a super-2 number, since 2×1144334220003292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114433422000292 and 114433422000301.

It is not a weakly prime, because it can be changed into another prime (114433422000379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57216711000164 + 57216711000165.

It is an arithmetic number, because the mean of its divisors is an integer number (57216711000165).

Almost surely, 2114433422000329 is an apocalyptic number.

It is an amenable number.

114433422000329 is a deficient number, since it is larger than the sum of its proper divisors (1).

114433422000329 is an equidigital number, since it uses as much as digits as its factorization.

114433422000329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 114433422000329 in words is "one hundred fourteen trillion, four hundred thirty-three billion, four hundred twenty-two million, three hundred twenty-nine", and thus it is an aban number.