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10030027729 is a prime number
BaseRepresentation
bin10010101011101011…
…00001001111010001
3221220000021012102111
421111311201033101
5131020141341404
64335134145321
7503360554231
oct112565411721
927800235374
1010030027729
114287764317
121b3b052241
13c3aca1c67
146b213bcc1
153da840104
hex255d613d1

10030027729 has 2 divisors, whose sum is σ = 10030027730. Its totient is φ = 10030027728.

The previous prime is 10030027717. The next prime is 10030027753. The reversal of 10030027729 is 92772003001.

10030027729 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9985405329 + 44622400 = 99927^2 + 6680^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10030027729 is a prime.

It is a super-3 number, since 3×100300277293 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10030027729.

It is not a weakly prime, because it can be changed into another prime (10030027129) 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, 5015013864 + 5015013865.

It is an arithmetic number, because the mean of its divisors is an integer number (5015013865).

Almost surely, 210030027729 is an apocalyptic number.

It is an amenable number.

10030027729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10030027729 is an equidigital number, since it uses as much as digits as its factorization.

10030027729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 31.

The spelling of 10030027729 in words is "ten billion, thirty million, twenty-seven thousand, seven hundred twenty-nine".