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10436528197 is a prime number
BaseRepresentation
bin10011011100001000…
…01100100001000101
3222221100011120020101
421232010030201011
5132333222400242
64443335004101
7516425011624
oct115604144105
928840146211
1010436528197
11447616a117
122033209631
13ca427b294
147101156bb
154113899b7
hex26e10c845

10436528197 has 2 divisors, whose sum is σ = 10436528198. Its totient is φ = 10436528196.

The previous prime is 10436528171. The next prime is 10436528213. The reversal of 10436528197 is 79182563401.

10436528197 is digitally balanced in base 3, 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., 6582725956 + 3853802241 = 81134^2 + 62079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10436528197 is a prime.

It is a super-2 number, since 2×104365281972 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10436528117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5218264098 + 5218264099.

It is an arithmetic number, because the mean of its divisors is an integer number (5218264099).

It is a 1-persistent number, because it is pandigital, but 2⋅10436528197 = 20873056394 is not.

Almost surely, 210436528197 is an apocalyptic number.

It is an amenable number.

10436528197 is a deficient number, since it is larger than the sum of its proper divisors (1).

10436528197 is an equidigital number, since it uses as much as digits as its factorization.

10436528197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10436528197 in words is "ten billion, four hundred thirty-six million, five hundred twenty-eight thousand, one hundred ninety-seven".