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220132012819 is a prime number
BaseRepresentation
bin1100110100000011100…
…0111111001100010011
3210001012101012220021211
43031000320333030103
512101312243402234
6245043253000551
721622035143635
oct3150070771423
9701171186254
10220132012819
11853a2867424
12367b5923157
13179b21687b4
14a923b2ca55
155ad5aba164
hex3340e3f313

220132012819 has 2 divisors, whose sum is σ = 220132012820. Its totient is φ = 220132012818.

The previous prime is 220132012811. The next prime is 220132012823. The reversal of 220132012819 is 918210231022.

220132012819 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 is a cyclic number.

It is not a de Polignac number, because 220132012819 - 23 = 220132012811 is a prime.

It is a super-2 number, since 2×2201320128192 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220132012811) 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, 110066006409 + 110066006410.

It is an arithmetic number, because the mean of its divisors is an integer number (110066006410).

Almost surely, 2220132012819 is an apocalyptic number.

220132012819 is a deficient number, since it is larger than the sum of its proper divisors (1).

220132012819 is an equidigital number, since it uses as much as digits as its factorization.

220132012819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 220132012819 in words is "two hundred twenty billion, one hundred thirty-two million, twelve thousand, eight hundred nineteen".