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220201840049 is a prime number
BaseRepresentation
bin1100110100010100001…
…1010110110110110001
3210001101020121111020112
43031011003112312301
512101433132340144
6245054225351105
721623543520602
oct3150503266661
9701336544215
10220201840049
118542921a684
1236815198495
13179c3776799
14a92d107da9
155adbcae99e
hex33450d6db1

220201840049 has 2 divisors, whose sum is σ = 220201840050. Its totient is φ = 220201840048.

The previous prime is 220201839967. The next prime is 220201840073. The reversal of 220201840049 is 940048102022.

It is a happy number.

220201840049 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., 140799053824 + 79402786225 = 375232^2 + 281785^2 .

It is a cyclic number.

It is not a de Polignac number, because 220201840049 - 224 = 220185062833 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220201839997 and 220201840024.

It is not a weakly prime, because it can be changed into another prime (220201843049) 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, 110100920024 + 110100920025.

It is an arithmetic number, because the mean of its divisors is an integer number (110100920025).

Almost surely, 2220201840049 is an apocalyptic number.

It is an amenable number.

220201840049 is a deficient number, since it is larger than the sum of its proper divisors (1).

220201840049 is an equidigital number, since it uses as much as digits as its factorization.

220201840049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 220201840049 in words is "two hundred twenty billion, two hundred one million, eight hundred forty thousand, forty-nine".