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182220382441 is a prime number
BaseRepresentation
bin1010100110110100101…
…1100110000011101001
3122102100020210112100101
42221231023212003221
510441141404214231
6215413315105401
716110406460206
oct2515513460351
9572306715311
10182220382441
1170308723399
122b3952a2261
131424c961406
148b68a60cad
154b175ee661
hex2a6d2e60e9

182220382441 has 2 divisors, whose sum is σ = 182220382442. Its totient is φ = 182220382440.

The previous prime is 182220382361. The next prime is 182220382451. The reversal of 182220382441 is 144283022281.

182220382441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161681193216 + 20539189225 = 402096^2 + 143315^2 .

It is an emirp because it is prime and its reverse (144283022281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 182220382441 - 29 = 182220381929 is a prime.

It is a super-2 number, since 2×1822203824412 (a number of 23 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 182220382441.

It is not a weakly prime, because it can be changed into another prime (182220382451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91110191220 + 91110191221.

It is an arithmetic number, because the mean of its divisors is an integer number (91110191221).

Almost surely, 2182220382441 is an apocalyptic number.

It is an amenable number.

182220382441 is a deficient number, since it is larger than the sum of its proper divisors (1).

182220382441 is an equidigital number, since it uses as much as digits as its factorization.

182220382441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 182220382441 in words is "one hundred eighty-two billion, two hundred twenty million, three hundred eighty-two thousand, four hundred forty-one".