Search a number
-
+
103323300031381 is a prime number
BaseRepresentation
bin10111011111100011010100…
…100110000110101110010101
3111112211121111102122001202011
4113133203110212012232111
5102020322104302001011
61003430022503544221
730522601460261443
oct2737432446065625
9445747442561664
10103323300031381
112aa16190264631
12b7088b815b071
134586464a72a61
141b72c35519b93
15be2a21eea621
hex5df8d4986b95

103323300031381 has 2 divisors, whose sum is σ = 103323300031382. Its totient is φ = 103323300031380.

The previous prime is 103323300031379. The next prime is 103323300031403. The reversal of 103323300031381 is 183130003323301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63661393058481 + 39661906972900 = 7978809^2 + 6297770^2 .

It is a cyclic number.

It is not a de Polignac number, because 103323300031381 - 21 = 103323300031379 is a prime.

It is a super-2 number, since 2×1033233000313812 (a number of 29 digits) contains 22 as substring.

Together with 103323300031379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103323300035381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51661650015690 + 51661650015691.

It is an arithmetic number, because the mean of its divisors is an integer number (51661650015691).

Almost surely, 2103323300031381 is an apocalyptic number.

It is an amenable number.

103323300031381 is a deficient number, since it is larger than the sum of its proper divisors (1).

103323300031381 is an equidigital number, since it uses as much as digits as its factorization.

103323300031381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 103323300031381 its reverse (183130003323301), we get a palindrome (286453303354682).

The spelling of 103323300031381 in words is "one hundred three trillion, three hundred twenty-three billion, three hundred million, thirty-one thousand, three hundred eighty-one".