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10031213029 is a prime number
BaseRepresentation
bin10010101011110100…
…00010100111100101
3221220002111102100111
421111322002213211
5131020442304104
64335215413021
7503403622015
oct112572024745
927802442314
1010031213029
1142883a3902
121b3b524171
13c3b2c8616
146b2369c45
153da9c6404
hex255e829e5

10031213029 has 2 divisors, whose sum is σ = 10031213030. Its totient is φ = 10031213028.

The previous prime is 10031212913. The next prime is 10031213047. The reversal of 10031213029 is 92031213001.

10031213029 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., 8807822500 + 1223390529 = 93850^2 + 34977^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031213029 - 27 = 10031212901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10031213329) 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, 5015606514 + 5015606515.

It is an arithmetic number, because the mean of its divisors is an integer number (5015606515).

Almost surely, 210031213029 is an apocalyptic number.

It is an amenable number.

10031213029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031213029 is an equidigital number, since it uses as much as digits as its factorization.

10031213029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 10031213029 in words is "ten billion, thirty-one million, two hundred thirteen thousand, twenty-nine".