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105313230389 is a prime number
BaseRepresentation
bin110001000010100101…
…0000101111000110101
3101001211110102102010102
41202011022011320311
53211140141333024
6120214044003445
710415521455053
oct1420512057065
9331743372112
10105313230389
11407326337a4
12184b1230585
139c1451c153
14515097b1d3
152b159151ae
hex1885285e35

105313230389 has 2 divisors, whose sum is σ = 105313230390. Its totient is φ = 105313230388.

The previous prime is 105313230367. The next prime is 105313230401. The reversal of 105313230389 is 983032313501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89860254289 + 15452976100 = 299767^2 + 124310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105313230389 is a prime.

It is a super-2 number, since 2×1053132303892 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105313230089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52656615194 + 52656615195.

It is an arithmetic number, because the mean of its divisors is an integer number (52656615195).

Almost surely, 2105313230389 is an apocalyptic number.

It is an amenable number.

105313230389 is a deficient number, since it is larger than the sum of its proper divisors (1).

105313230389 is an equidigital number, since it uses as much as digits as its factorization.

105313230389 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 38.

The spelling of 105313230389 in words is "one hundred five billion, three hundred thirteen million, two hundred thirty thousand, three hundred eighty-nine".