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2201111100193 is a prime number
BaseRepresentation
bin100000000001111100011…
…100011111101100100001
321210102110012212021101111
4200001330130133230201
5242030333420201233
64403102041503321
7315011404436155
oct40017434375441
97712405767344
102201111100193
11779538919005
122b670b7a1b41
1312c743b1c785
147876a35d065
153c3c8c7bacd
hex2007c71fb21

2201111100193 has 2 divisors, whose sum is σ = 2201111100194. Its totient is φ = 2201111100192.

The previous prime is 2201111100169. The next prime is 2201111100233. The reversal of 2201111100193 is 3910011111022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1671466293904 + 529644806289 = 1292852^2 + 727767^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201111100193 - 241 = 2087844641 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201111100893) 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, 1100555550096 + 1100555550097.

It is an arithmetic number, because the mean of its divisors is an integer number (1100555550097).

Almost surely, 22201111100193 is an apocalyptic number.

It is an amenable number.

2201111100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201111100193 is an equidigital number, since it uses as much as digits as its factorization.

2201111100193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 2201111100193 in words is "two trillion, two hundred one billion, one hundred eleven million, one hundred thousand, one hundred ninety-three".