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1022200012181 is a prime number
BaseRepresentation
bin11101101111111111101…
…11100101110110010101
310121201110212122220002102
432313333313211312111
5113221431200342211
62101331525451445
7133565032512425
oct16677767456625
93551425586072
101022200012181
113645702926a7
12146138870b85
13755156aa51a
14376909b0485
151b8ca702a3b
hexedffde5d95

1022200012181 has 2 divisors, whose sum is σ = 1022200012182. Its totient is φ = 1022200012180.

The previous prime is 1022200012129. The next prime is 1022200012213. The reversal of 1022200012181 is 1812100022201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 985284538225 + 36915473956 = 992615^2 + 192134^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022200012181 - 214 = 1022199995797 is a prime.

It is a super-2 number, since 2×10222000121812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022200014181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511100006090 + 511100006091.

It is an arithmetic number, because the mean of its divisors is an integer number (511100006091).

Almost surely, 21022200012181 is an apocalyptic number.

It is an amenable number.

1022200012181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022200012181 is an equidigital number, since it uses as much as digits as its factorization.

1022200012181 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1022200012181 its reverse (1812100022201), we get a palindrome (2834300034382).

The spelling of 1022200012181 in words is "one trillion, twenty-two billion, two hundred million, twelve thousand, one hundred eighty-one".