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103413242314301 is a prime number
BaseRepresentation
bin10111100000110111000101…
…100100101011111000111101
3111120011012122122220102220212
4113200313011210223320331
5102023310310013024201
61003535215423122205
730532234356126563
oct2740670544537075
9446135578812825
10103413242314301
112aa50345343a57
12b722219743365
134591a999371ca
141b773288b1a33
15be5038275abb
hex5e0dc592be3d

103413242314301 has 2 divisors, whose sum is σ = 103413242314302. Its totient is φ = 103413242314300.

The previous prime is 103413242314279. The next prime is 103413242314339.

103413242314301 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78594412891801 + 24818829422500 = 8865349^2 + 4981850^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103413242314301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103413242314201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51706621157150 + 51706621157151.

It is an arithmetic number, because the mean of its divisors is an integer number (51706621157151).

Almost surely, 2103413242314301 is an apocalyptic number.

It is an amenable number.

103413242314301 is a deficient number, since it is larger than the sum of its proper divisors (1).

103413242314301 is an equidigital number, since it uses as much as digits as its factorization.

103413242314301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 103413242314301 in words is "one hundred three trillion, four hundred thirteen billion, two hundred forty-two million, three hundred fourteen thousand, three hundred one".