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10413132073 is a prime number
BaseRepresentation
bin10011011001010101…
…11100100100101001
3222212201010220210021
421230222330210221
5132311230211243
64441141320441
7516022106431
oct115452744451
928781126707
1010413132073
114463a3a283
122027406121
13c9c479116
1470ad852c1
1540e2b76ed
hex26cabc929

10413132073 has 2 divisors, whose sum is σ = 10413132074. Its totient is φ = 10413132072.

The previous prime is 10413132019. The next prime is 10413132083. The reversal of 10413132073 is 37023131401.

10413132073 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., 9843020944 + 570111129 = 99212^2 + 23877^2 .

It is a cyclic number.

It is not a de Polignac number, because 10413132073 - 225 = 10379577641 is a prime.

It is a super-3 number, since 3×104131320733 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10413132013) 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, 5206566036 + 5206566037.

It is an arithmetic number, because the mean of its divisors is an integer number (5206566037).

Almost surely, 210413132073 is an apocalyptic number.

It is an amenable number.

10413132073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10413132073 is an equidigital number, since it uses as much as digits as its factorization.

10413132073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 10413132073 its reverse (37023131401), we get a palindrome (47436263474).

The spelling of 10413132073 in words is "ten billion, four hundred thirteen million, one hundred thirty-two thousand, seventy-three".