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1221000202249 is a prime number
BaseRepresentation
bin10001110001001001010…
…010001000100000001001
311022201121121021220202221
4101301021102020200021
5130001102022432444
62332530355454041
7154133344322332
oct21611122104011
94281547256687
101221000202249
11430906867943
1217877a5b7321
138b1a8270899
144314d5b1289
1521b63677a84
hex11c49488809

1221000202249 has 2 divisors, whose sum is σ = 1221000202250. Its totient is φ = 1221000202248.

The previous prime is 1221000202211. The next prime is 1221000202259. The reversal of 1221000202249 is 9422020001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1197875525625 + 23124676624 = 1094475^2 + 152068^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221000202249 - 211 = 1221000200201 is a prime.

It is not a weakly prime, because it can be changed into another prime (1221000202259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610500101124 + 610500101125.

It is an arithmetic number, because the mean of its divisors is an integer number (610500101125).

Almost surely, 21221000202249 is an apocalyptic number.

It is an amenable number.

1221000202249 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221000202249 is an equidigital number, since it uses as much as digits as its factorization.

1221000202249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

It can be divided in two parts, 1221000 and 202249, that added together give a square (1423249 = 11932).

The spelling of 1221000202249 in words is "one trillion, two hundred twenty-one billion, two hundred two thousand, two hundred forty-nine".