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10500621133 is a prime number
BaseRepresentation
bin10011100011110001…
…01100001101001101
31000002210202211012211
421301320230031031
5133001124334013
64453544430421
7521133543532
oct116170541515
930083684184
1010500621133
1144a9366092
122050778411
13cb462c1b2
1471883ad89
15416cea23d
hex271e2c34d

10500621133 has 2 divisors, whose sum is σ = 10500621134. Its totient is φ = 10500621132.

The previous prime is 10500621071. The next prime is 10500621139. The reversal of 10500621133 is 33112600501.

It is a happy number.

10500621133 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., 5949499689 + 4551121444 = 77133^2 + 67462^2 .

It is a cyclic number.

It is not a de Polignac number, because 10500621133 - 229 = 9963750221 is a prime.

It is a super-2 number, since 2×105006211332 (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 (10500621139) 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, 5250310566 + 5250310567.

It is an arithmetic number, because the mean of its divisors is an integer number (5250310567).

Almost surely, 210500621133 is an apocalyptic number.

It is an amenable number.

10500621133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500621133 is an equidigital number, since it uses as much as digits as its factorization.

10500621133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The spelling of 10500621133 in words is "ten billion, five hundred million, six hundred twenty-one thousand, one hundred thirty-three".