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10264546141 is a prime number
BaseRepresentation
bin10011000111101000…
…01000101101011101
3222111100112222012121
421203310020231131
5132010210434031
64414312502541
7512236126333
oct114364105535
928440488177
1010264546141
114398083493
121ba56aaa51
13c77753a55
146d5347b53
15401217011
hex263d08b5d

10264546141 has 2 divisors, whose sum is σ = 10264546142. Its totient is φ = 10264546140.

The previous prime is 10264546139. The next prime is 10264546157. The reversal of 10264546141 is 14164546201.

10264546141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9915977241 + 348568900 = 99579^2 + 18670^2 .

It is a cyclic number.

It is not a de Polignac number, because 10264546141 - 21 = 10264546139 is a prime.

Together with 10264546139, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10264546097 and 10264546106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10264546441) 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, 5132273070 + 5132273071.

It is an arithmetic number, because the mean of its divisors is an integer number (5132273071).

Almost surely, 210264546141 is an apocalyptic number.

It is an amenable number.

10264546141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10264546141 is an equidigital number, since it uses as much as digits as its factorization.

10264546141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 10264546141 in words is "ten billion, two hundred sixty-four million, five hundred forty-six thousand, one hundred forty-one".