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10026153029 is a prime number
BaseRepresentation
bin10010101011001101…
…01111010001000101
3221212201222100100002
421111212233101011
5131013143344104
64334515131045
7503312615564
oct112546572105
927781870302
1010026153029
114285558192
121b398a3a85
13c3a246439
146b180dbdb
153da32701e
hex2559af445

10026153029 has 2 divisors, whose sum is σ = 10026153030. Its totient is φ = 10026153028.

The previous prime is 10026152993. The next prime is 10026153061. The reversal of 10026153029 is 92035162001.

10026153029 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., 8649372004 + 1376781025 = 93002^2 + 37105^2 .

It is a cyclic number.

It is not a de Polignac number, because 10026153029 - 212 = 10026148933 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 = 10026152992 and 10026153010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10026153089) 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, 5013076514 + 5013076515.

It is an arithmetic number, because the mean of its divisors is an integer number (5013076515).

Almost surely, 210026153029 is an apocalyptic number.

It is an amenable number.

10026153029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10026153029 is an equidigital number, since it uses as much as digits as its factorization.

10026153029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 10026153029 in words is "ten billion, twenty-six million, one hundred fifty-three thousand, twenty-nine".