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1100222221993 is a prime number
BaseRepresentation
bin10000000000101010010…
…110101100111010101001
310220011212101012210222221
4100000222112230322221
5121011223342100433
62201233552314041
7142326350404036
oct20005226547251
93804771183887
101100222221993
11394668841734
12159292242921
137c99ab4318b
143b372bd238d
151d94524972d
hex1002a5acea9

1100222221993 has 2 divisors, whose sum is σ = 1100222221994. Its totient is φ = 1100222221992.

The previous prime is 1100222221991. The next prime is 1100222222137. The reversal of 1100222221993 is 3991222220011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1085780672064 + 14441549929 = 1042008^2 + 120173^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100222221993 - 21 = 1100222221991 is a prime.

Together with 1100222221991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1100222221991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550111110996 + 550111110997.

It is an arithmetic number, because the mean of its divisors is an integer number (550111110997).

Almost surely, 21100222221993 is an apocalyptic number.

It is an amenable number.

1100222221993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100222221993 is an equidigital number, since it uses as much as digits as its factorization.

1100222221993 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 34.

The spelling of 1100222221993 in words is "one trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, nine hundred ninety-three".