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34036545133 is a prime number
BaseRepresentation
bin11111101100101111…
…000111011001101101
310020212001202122022201
4133230233013121231
51024201323421013
623345225141501
72313312601003
oct375457073155
9106761678281
1034036545133
1113486819148
12671a92a891
133295740946
14190c592a73
15d431bc3dd
hex7ecbc766d

34036545133 has 2 divisors, whose sum is σ = 34036545134. Its totient is φ = 34036545132.

The previous prime is 34036545113. The next prime is 34036545149. The reversal of 34036545133 is 33154563043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19578166084 + 14458379049 = 139922^2 + 120243^2 .

It is a cyclic number.

It is not a de Polignac number, because 34036545133 - 225 = 34002990701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34036545092 and 34036545101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34036545113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17018272566 + 17018272567.

It is an arithmetic number, because the mean of its divisors is an integer number (17018272567).

Almost surely, 234036545133 is an apocalyptic number.

It is an amenable number.

34036545133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34036545133 is an equidigital number, since it uses as much as digits as its factorization.

34036545133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 37.

The spelling of 34036545133 in words is "thirty-four billion, thirty-six million, five hundred forty-five thousand, one hundred thirty-three".