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103012241104013 is a prime number
BaseRepresentation
bin10111011011000001101000…
…000010011101110010001101
3111111201212121012101022121112
4113123001220002131302031
5102000223032210312023
61003031100435341405
730461250236104253
oct2733015002356215
9444655535338545
10103012241104013
112a90627864153a
12b678567151865
134563021a56b57
141b61b677685d3
15bd98b8a0c478
hex5db06809dc8d

103012241104013 has 2 divisors, whose sum is σ = 103012241104014. Its totient is φ = 103012241104012.

The previous prime is 103012241103949. The next prime is 103012241104051. The reversal of 103012241104013 is 310401142210301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86288827915684 + 16723413188329 = 9289178^2 + 4089427^2 .

It is a cyclic number.

It is not a de Polignac number, because 103012241104013 - 26 = 103012241103949 is a prime.

It is a super-3 number, since 3×1030122411040133 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103012241104013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103012241104093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51506120552006 + 51506120552007.

It is an arithmetic number, because the mean of its divisors is an integer number (51506120552007).

Almost surely, 2103012241104013 is an apocalyptic number.

It is an amenable number.

103012241104013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103012241104013 is an equidigital number, since it uses as much as digits as its factorization.

103012241104013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 103012241104013 its reverse (310401142210301), we get a palindrome (413413383314314).

The spelling of 103012241104013 in words is "one hundred three trillion, twelve billion, two hundred forty-one million, one hundred four thousand, thirteen".