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323103020132993 is a prime number
BaseRepresentation
bin100100101110111000100100…
…0101111011010101010000001
31120101000100101000020100211012
41021131301020233122222001
5314322204441123223433
63103103251152530305
7125025265020452042
oct11135611057325201
91511010330210735
10323103020132993
1193a5024864aa11
12302a3643850995
1310b3963a63b509
1459b03abb748c9
1527549b7392848
hex125dc48bdaa81

323103020132993 has 2 divisors, whose sum is σ = 323103020132994. Its totient is φ = 323103020132992.

The previous prime is 323103020132983. The next prime is 323103020133011. The reversal of 323103020132993 is 399231020301323.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179153727668224 + 143949292464769 = 13384832^2 + 11997887^2 .

It is a cyclic number.

It is not a de Polignac number, because 323103020132993 - 26 = 323103020132929 is a prime.

It is a super-2 number, since 2×3231030201329932 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 323103020132993.

It is not a weakly prime, because it can be changed into another prime (323103020132933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161551510066496 + 161551510066497.

It is an arithmetic number, because the mean of its divisors is an integer number (161551510066497).

Almost surely, 2323103020132993 is an apocalyptic number.

It is an amenable number.

323103020132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

323103020132993 is an equidigital number, since it uses as much as digits as its factorization.

323103020132993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 41.

The spelling of 323103020132993 in words is "three hundred twenty-three trillion, one hundred three billion, twenty million, one hundred thirty-two thousand, nine hundred ninety-three".