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103115525141 is a prime number
BaseRepresentation
bin110000000001000101…
…0100000110000010101
3100212011022001102021202
41200002022200300111
53142140033301031
6115212015322245
710310204334116
oct1400212406025
9325138042252
10103115525141
113a805031272
1217b99220385
139954112145
144dc2b3a20d
152a379ed2cb
hex18022a0c15

103115525141 has 2 divisors, whose sum is σ = 103115525142. Its totient is φ = 103115525140.

The previous prime is 103115525101. The next prime is 103115525143. The reversal of 103115525141 is 141525511301.

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., 101872680625 + 1242844516 = 319175^2 + 35254^2 .

It is a cyclic number.

It is not a de Polignac number, because 103115525141 - 214 = 103115508757 is a prime.

Together with 103115525143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103115525143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51557762570 + 51557762571.

It is an arithmetic number, because the mean of its divisors is an integer number (51557762571).

Almost surely, 2103115525141 is an apocalyptic number.

It is an amenable number.

103115525141 is a deficient number, since it is larger than the sum of its proper divisors (1).

103115525141 is an equidigital number, since it uses as much as digits as its factorization.

103115525141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3000, while the sum is 29.

The spelling of 103115525141 in words is "one hundred three billion, one hundred fifteen million, five hundred twenty-five thousand, one hundred forty-one".