Search a number
-
+
103302133303333 is a prime number
BaseRepresentation
bin10111011111001111100110…
…111101011100100000100101
3111112202120212021200212111111
4113133033212331130200211
5102020000232111201313
61003412202255305021
730521222110123156
oct2737174675344045
9445676767625444
10103302133303333
112aa08209194558
12b70478b51b171
134584470752cc3
141b71bc82c592d
15be21d3b1743d
hex5df3e6f5c825

103302133303333 has 2 divisors, whose sum is σ = 103302133303334. Its totient is φ = 103302133303332.

The previous prime is 103302133303307. The next prime is 103302133303409. The reversal of 103302133303333 is 333303331203301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91205976233124 + 12096157070209 = 9550182^2 + 3477953^2 .

It is a cyclic number.

It is not a de Polignac number, because 103302133303333 - 25 = 103302133303301 is a prime.

It is a super-3 number, since 3×1033021333033333 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103302133303295 and 103302133303304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103302139303333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51651066651666 + 51651066651667.

It is an arithmetic number, because the mean of its divisors is an integer number (51651066651667).

Almost surely, 2103302133303333 is an apocalyptic number.

It is an amenable number.

103302133303333 is a deficient number, since it is larger than the sum of its proper divisors (1).

103302133303333 is an equidigital number, since it uses as much as digits as its factorization.

103302133303333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39366, while the sum is 31.

Adding to 103302133303333 its reverse (333303331203301), we get a palindrome (436605464506634).

The spelling of 103302133303333 in words is "one hundred three trillion, three hundred two billion, one hundred thirty-three million, three hundred three thousand, three hundred thirty-three".