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34024242053 is a prime number
BaseRepresentation
bin11111101100000000…
…001011101110000101
310020211012121120200002
4133230000023232011
51024140201221203
623344105331045
72313103166654
oct375400135605
9106735546602
1034024242053
111347a88570a
126716796a85
133293023a09
14190aaad19b
15d4208bd88
hex7ec00bb85

34024242053 has 2 divisors, whose sum is σ = 34024242054. Its totient is φ = 34024242052.

The previous prime is 34024242047. The next prime is 34024242059. The reversal of 34024242053 is 35024242043.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (34024242047) and next prime (34024242059).

It can be written as a sum of positive squares in only one way, i.e., 19676514529 + 14347727524 = 140273^2 + 119782^2 .

It is a cyclic number.

It is not a de Polignac number, because 34024242053 - 26 = 34024241989 is a prime.

It is a super-2 number, since 2×340242420532 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34024242059) 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, 17012121026 + 17012121027.

It is an arithmetic number, because the mean of its divisors is an integer number (17012121027).

Almost surely, 234024242053 is an apocalyptic number.

It is an amenable number.

34024242053 is a deficient number, since it is larger than the sum of its proper divisors (1).

34024242053 is an equidigital number, since it uses as much as digits as its factorization.

34024242053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 34024242053 its reverse (35024242043), we get a palindrome (69048484096).

The spelling of 34024242053 in words is "thirty-four billion, twenty-four million, two hundred forty-two thousand, fifty-three".