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2200220111081 is a prime number
BaseRepresentation
bin100000000001000111010…
…101101001000011101001
321210100011010022100002202
4200001013111221003221
5242022022322023311
64402433412505545
7314650335240236
oct40010725510351
97710133270082
102200220111081
11779120990773
122b650131b2b5
1312c63135c695
14786c3caa78d
153c37592ee3b
hex200475690e9

2200220111081 has 2 divisors, whose sum is σ = 2200220111082. Its totient is φ = 2200220111080.

The previous prime is 2200220111017. The next prime is 2200220111113. The reversal of 2200220111081 is 1801110220022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1907602945600 + 292617165481 = 1381160^2 + 540941^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200220111081 - 26 = 2200220111017 is a prime.

It is a super-3 number, since 3×22002201110813 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2200220111681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100110055540 + 1100110055541.

It is an arithmetic number, because the mean of its divisors is an integer number (1100110055541).

Almost surely, 22200220111081 is an apocalyptic number.

It is an amenable number.

2200220111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200220111081 is an equidigital number, since it uses as much as digits as its factorization.

2200220111081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 2200220111081 in words is "two trillion, two hundred billion, two hundred twenty million, one hundred eleven thousand, eighty-one".