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220202200993 is a prime number
BaseRepresentation
bin1100110100010100010…
…0101110111110100001
3210001101021021211100211
43031011010232332201
512101433230412433
6245054241214121
721623546553115
oct3150504567641
9701337254324
10220202200993
1185429446885
1236815331341
13179c3871b68
14a92d19d745
155adbd318cd
hex334512efa1

220202200993 has 2 divisors, whose sum is σ = 220202200994. Its totient is φ = 220202200992.

The previous prime is 220202200927. The next prime is 220202201057. The reversal of 220202200993 is 399002202022.

220202200993 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., 208290006544 + 11912194449 = 456388^2 + 109143^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220202200993 is a prime.

It is not a weakly prime, because it can be changed into another prime (220202200903) 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, 110101100496 + 110101100497.

It is an arithmetic number, because the mean of its divisors is an integer number (110101100497).

Almost surely, 2220202200993 is an apocalyptic number.

It is an amenable number.

220202200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

220202200993 is an equidigital number, since it uses as much as digits as its factorization.

220202200993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 220202200993 in words is "two hundred twenty billion, two hundred two million, two hundred thousand, nine hundred ninety-three".