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103013442101 is a prime number
BaseRepresentation
bin101111111110000010…
…1000110001000110101
3100211220011222001200102
41133330011012020311
53141432420121401
6115153531323445
710304524544663
oct1377405061065
9324804861612
10103013442101
113a762447819
1217b6abb0585
139938c1c48b
144db3365c33
152a2da8656b
hex17fc146235

103013442101 has 2 divisors, whose sum is σ = 103013442102. Its totient is φ = 103013442100.

The previous prime is 103013442073. The next prime is 103013442137. The reversal of 103013442101 is 101244310301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99998883076 + 3014559025 = 316226^2 + 54905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103013442101 is a prime.

It is a super-2 number, since 2×1030134421012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103013441101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51506721050 + 51506721051.

It is an arithmetic number, because the mean of its divisors is an integer number (51506721051).

Almost surely, 2103013442101 is an apocalyptic number.

It is an amenable number.

103013442101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103013442101 is an equidigital number, since it uses as much as digits as its factorization.

103013442101 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 20.

Adding to 103013442101 its reverse (101244310301), we get a palindrome (204257752402).

The spelling of 103013442101 in words is "one hundred three billion, thirteen million, four hundred forty-two thousand, one hundred one".