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12221331001141 is a prime number
BaseRepresentation
bin1011000111011000000000…
…0101111100111100110101
31121021100101120101220212011
42301312000011330330311
53100213241214014031
641554222453324221
72400650655332143
oct261660005747465
947240346356764
1012221331001141
113992045816969
1214546ab036671
136a860b087212
14303730a56593
15162d88dc66b1
hexb1d8017cf35

12221331001141 has 2 divisors, whose sum is σ = 12221331001142. Its totient is φ = 12221331001140.

The previous prime is 12221331001021. The next prime is 12221331001147. The reversal of 12221331001141 is 14110013312221.

12221331001141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11906267698116 + 315063303025 = 3450546^2 + 561305^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221331001141 - 211 = 12221330999093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221331001147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110665500570 + 6110665500571.

It is an arithmetic number, because the mean of its divisors is an integer number (6110665500571).

Almost surely, 212221331001141 is an apocalyptic number.

It is an amenable number.

12221331001141 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221331001141 is an equidigital number, since it uses as much as digits as its factorization.

12221331001141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12221331001141 its reverse (14110013312221), we get a palindrome (26331344313362).

The spelling of 12221331001141 in words is "twelve trillion, two hundred twenty-one billion, three hundred thirty-one million, one thousand, one hundred forty-one".