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34131450053 is a prime number
BaseRepresentation
bin11111110010011001…
…001001100011000101
310021002200100022101202
4133302121021203011
51024400122400203
623402455232245
72315544352511
oct376231114305
9107080308352
1034131450053
111352534a668
126746678685
1332ac2bc2bc
14191b019141
15d4b6b7388
hex7f26498c5

34131450053 has 2 divisors, whose sum is σ = 34131450054. Its totient is φ = 34131450052.

The previous prime is 34131450029. The next prime is 34131450077. The reversal of 34131450053 is 35005413143.

It is a balanced prime because it is at equal distance from previous prime (34131450029) and next prime (34131450077).

It can be written as a sum of positive squares in only one way, i.e., 17588860129 + 16542589924 = 132623^2 + 128618^2 .

It is an emirp because it is prime and its reverse (35005413143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34131450053 - 228 = 33863014597 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34131449998 and 34131450025.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34131450013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17065725026 + 17065725027.

It is an arithmetic number, because the mean of its divisors is an integer number (17065725027).

Almost surely, 234131450053 is an apocalyptic number.

It is an amenable number.

34131450053 is a deficient number, since it is larger than the sum of its proper divisors (1).

34131450053 is an equidigital number, since it uses as much as digits as its factorization.

34131450053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 34131450053 its reverse (35005413143), we get a palindrome (69136863196).

The spelling of 34131450053 in words is "thirty-four billion, one hundred thirty-one million, four hundred fifty thousand, fifty-three".