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10757144141 is a prime number
BaseRepresentation
bin10100000010010110…
…01111111001001101
31000202200110112121222
422001023033321031
5134012312103031
64535230533125
7530400134162
oct120113177115
930680415558
1010757144141
114620144677
1221026671a5
131025816963
14740934069
1542e5bbe7b
hex2812cfe4d

10757144141 has 2 divisors, whose sum is σ = 10757144142. Its totient is φ = 10757144140.

The previous prime is 10757144131. The next prime is 10757144161. The reversal of 10757144141 is 14144175701.

10757144141 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., 6782346025 + 3974798116 = 82355^2 + 63046^2 .

It is an emirp because it is prime and its reverse (14144175701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10757144141 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10757144131) 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, 5378572070 + 5378572071.

It is an arithmetic number, because the mean of its divisors is an integer number (5378572071).

Almost surely, 210757144141 is an apocalyptic number.

It is an amenable number.

10757144141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10757144141 is an equidigital number, since it uses as much as digits as its factorization.

10757144141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 35.

The spelling of 10757144141 in words is "ten billion, seven hundred fifty-seven million, one hundred forty-four thousand, one hundred forty-one".