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1022221312381 is a prime number
BaseRepresentation
bin11101110000000010010…
…00110110000101111101
310121201112100202001110201
432320001020312011331
5113222002123444011
62101334010203501
7133565411535223
oct16700110660575
93551470661421
101022221312381
11364581310875
12146143a23591
1375519c276a9
1437693756b13
151b8cc50dcc1
hexee0123617d

1022221312381 has 2 divisors, whose sum is σ = 1022221312382. Its totient is φ = 1022221312380.

The previous prime is 1022221312313. The next prime is 1022221312391. The reversal of 1022221312381 is 1832131222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 968876019225 + 53345293156 = 984315^2 + 230966^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022221312381 - 29 = 1022221311869 is a prime.

It is a super-2 number, since 2×10222213123812 (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 (1022221312391) 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, 511110656190 + 511110656191.

It is an arithmetic number, because the mean of its divisors is an integer number (511110656191).

Almost surely, 21022221312381 is an apocalyptic number.

It is an amenable number.

1022221312381 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022221312381 is an equidigital number, since it uses as much as digits as its factorization.

1022221312381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 1022221312381 its reverse (1832131222201), we get a palindrome (2854352534582).

The spelling of 1022221312381 in words is "one trillion, twenty-two billion, two hundred twenty-one million, three hundred twelve thousand, three hundred eighty-one".