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10010000053 is a prime number
BaseRepresentation
bin10010101001010010…
…00111101010110101
3221211121120200121201
421110221013222311
5131000030000203
64333141012501
7503025411424
oct112451075265
927747520551
1010010000053
114277425219
121b343b4131
13c36aac071
146ad6072bb
153d8bd5e1d
hex254a47ab5

10010000053 has 2 divisors, whose sum is σ = 10010000054. Its totient is φ = 10010000052.

The previous prime is 10010000029. The next prime is 10010000059. The reversal of 10010000053 is 35000001001.

10010000053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5043556324 + 4966443729 = 71018^2 + 70473^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010000053 - 225 = 9976445621 is a prime.

It is a super-2 number, since 2×100100000532 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10009999994 and 10010000039.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010000059) 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, 5005000026 + 5005000027.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000027).

Almost surely, 210010000053 is an apocalyptic number.

It is an amenable number.

10010000053 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010000053 is an equidigital number, since it uses as much as digits as its factorization.

10010000053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 10.

Adding to 10010000053 its reverse (35000001001), we get a palindrome (45010001054).

The spelling of 10010000053 in words is "ten billion, ten million, fifty-three", and thus it is an aban number and an uban number.