Search a number
-
+
182403809281 is a prime number
BaseRepresentation
bin1010100111100000011…
…1010100000000000001
3122102211000221120200001
42221320013110000001
510442030333344111
6215443430400001
716115064540301
oct2517007240001
9572730846601
10182403809281
11703a2216721
122b426800001
131427b964cc5
148b8516b601
154b287831c1
hex2a781d4001

182403809281 has 2 divisors, whose sum is σ = 182403809282. Its totient is φ = 182403809280.

The previous prime is 182403809251. The next prime is 182403809303. The reversal of 182403809281 is 182908304281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150046994881 + 32356814400 = 387359^2 + 179880^2 .

It is a cyclic number.

It is not a de Polignac number, because 182403809281 - 25 = 182403809249 is a prime.

It is a super-2 number, since 2×1824038092812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (182403809221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91201904640 + 91201904641.

It is an arithmetic number, because the mean of its divisors is an integer number (91201904641).

Almost surely, 2182403809281 is an apocalyptic number.

It is an amenable number.

182403809281 is a deficient number, since it is larger than the sum of its proper divisors (1).

182403809281 is an equidigital number, since it uses as much as digits as its factorization.

182403809281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 182403809281 in words is "one hundred eighty-two billion, four hundred three million, eight hundred nine thousand, two hundred eighty-one".