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122221122281 is a prime number
BaseRepresentation
bin111000111010011110…
…0100101001011101001
3102200110210121022110122
41301310330211023221
54000302101403111
6132051514453025
711554516253366
oct1616474451351
9380423538418
10122221122281
1147919701175
121b82b734175
13b6aa402bcb
145cb632146d
1532a4e95cdb
hex1c74f252e9

122221122281 has 2 divisors, whose sum is σ = 122221122282. Its totient is φ = 122221122280.

The previous prime is 122221122269. The next prime is 122221122299. The reversal of 122221122281 is 182221122221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61458872281 + 60762250000 = 247909^2 + 246500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122221122281 is a prime.

It is a super-2 number, since 2×1222211222812 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122221122281.

It is not a weakly prime, because it can be changed into another prime (122221122781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110561140 + 61110561141.

It is an arithmetic number, because the mean of its divisors is an integer number (61110561141).

Almost surely, 2122221122281 is an apocalyptic number.

It is an amenable number.

122221122281 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221122281 is an equidigital number, since it uses as much as digits as its factorization.

122221122281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1024, while the sum is 26.

The spelling of 122221122281 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred eighty-one".