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10240330141 is a prime number
BaseRepresentation
bin10011000100101111…
…10000100110011101
3222102122222200002201
421202113300212131
5131433011031031
64412045451501
7511523240626
oct114227604635
928378880081
1010240330141
114385443668
121b99570b91
13c72725662
146d2042a4d
153ee031d61
hex2625f099d

10240330141 has 2 divisors, whose sum is σ = 10240330142. Its totient is φ = 10240330140.

The previous prime is 10240330097. The next prime is 10240330151. The reversal of 10240330141 is 14103304201.

10240330141 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., 5538485241 + 4701844900 = 74421^2 + 68570^2 .

It is a cyclic number.

It is not a de Polignac number, because 10240330141 - 27 = 10240330013 is a prime.

It is a super-2 number, since 2×102403301412 (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 (10240330151) 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, 5120165070 + 5120165071.

It is an arithmetic number, because the mean of its divisors is an integer number (5120165071).

Almost surely, 210240330141 is an apocalyptic number.

It is an amenable number.

10240330141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10240330141 is an equidigital number, since it uses as much as digits as its factorization.

10240330141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10240330141 its reverse (14103304201), we get a palindrome (24343634342).

The spelling of 10240330141 in words is "ten billion, two hundred forty million, three hundred thirty thousand, one hundred forty-one".