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10131110141 is a prime number
BaseRepresentation
bin10010110111101110…
…00111100011111101
3222011001110201102112
421123313013203331
5131222031011031
64353144503405
7506026005155
oct113367074375
928131421375
1010131110141
114329824aa9
121b68a7ab65
13c55c04339
146c1731765
153e465a62b
hex25bdc78fd

10131110141 has 2 divisors, whose sum is σ = 10131110142. Its totient is φ = 10131110140.

The previous prime is 10131110123. The next prime is 10131110147. The reversal of 10131110141 is 14101113101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10126396900 + 4713241 = 100630^2 + 2171^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10131110141 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 (10131110147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065555070 + 5065555071.

It is an arithmetic number, because the mean of its divisors is an integer number (5065555071).

Almost surely, 210131110141 is an apocalyptic number.

It is an amenable number.

10131110141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131110141 is an equidigital number, since it uses as much as digits as its factorization.

10131110141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10131110141 its reverse (14101113101), we get a palindrome (24232223242).

The spelling of 10131110141 in words is "ten billion, one hundred thirty-one million, one hundred ten thousand, one hundred forty-one".