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103414041041 is a prime number
BaseRepresentation
bin110000001001111110…
…1010000100111010001
3100212221002202121010012
41200103331100213101
53143242443303131
6115301401444305
710320460562633
oct1402375204721
9325832677105
10103414041041
113a948591723
12180611a0695
1399a0c1057c
145010644a53
152a53d1752b
hex1813f509d1

103414041041 has 2 divisors, whose sum is σ = 103414041042. Its totient is φ = 103414041040.

The previous prime is 103414041007. The next prime is 103414041047. The reversal of 103414041041 is 140140414301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55670043025 + 47743998016 = 235945^2 + 218504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103414041041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103414040998 and 103414041016.

It is not a weakly prime, because it can be changed into another prime (103414041047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51707020520 + 51707020521.

It is an arithmetic number, because the mean of its divisors is an integer number (51707020521).

Almost surely, 2103414041041 is an apocalyptic number.

It is an amenable number.

103414041041 is a deficient number, since it is larger than the sum of its proper divisors (1).

103414041041 is an equidigital number, since it uses as much as digits as its factorization.

103414041041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 103414041041 its reverse (140140414301), we get a palindrome (243554455342).

The spelling of 103414041041 in words is "one hundred three billion, four hundred fourteen million, forty-one thousand, forty-one".