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10214403013 is a prime number
BaseRepresentation
bin10011000001101001…
…10110101111000101
3222100212012102202201
421200310312233011
5131404341344023
64405322034501
7511056664423
oct114064665705
928325172681
1010214403013
114371845191
121b90948a31
13c6a248469
146cc814113
153ebb0ebad
hex260d36bc5

10214403013 has 2 divisors, whose sum is σ = 10214403014. Its totient is φ = 10214403012.

The previous prime is 10214402999. The next prime is 10214403019. The reversal of 10214403013 is 31030441201.

10214403013 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., 6986117889 + 3228285124 = 83583^2 + 56818^2 .

It is a cyclic number.

It is not a de Polignac number, because 10214403013 - 221 = 10212305861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10214403019) 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, 5107201506 + 5107201507.

It is an arithmetic number, because the mean of its divisors is an integer number (5107201507).

Almost surely, 210214403013 is an apocalyptic number.

It is an amenable number.

10214403013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10214403013 is an equidigital number, since it uses as much as digits as its factorization.

10214403013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10214403013 its reverse (31030441201), we get a palindrome (41244844214).

The spelling of 10214403013 in words is "ten billion, two hundred fourteen million, four hundred three thousand, thirteen".