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220122221120957 is a prime number
BaseRepresentation
bin110010000011001100110010…
…110011000000110110111101
31001212101110221001200210212202
4302003030302303000312331
5212322440302101332312
62100054430302241245
764236206561616221
oct6203146263006675
91055343831623782
10220122221120957
1164157345280561
12208311b2586225
1395a958997501c
143c4dd881a2781
151a6ad3ddba9c2
hexc83332cc0dbd

220122221120957 has 2 divisors, whose sum is σ = 220122221120958. Its totient is φ = 220122221120956.

The previous prime is 220122221120951. The next prime is 220122221121013. The reversal of 220122221120957 is 759021122221022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218840511841081 + 1281709279876 = 14793259^2 + 1132126^2 .

It is a cyclic number.

It is not a de Polignac number, because 220122221120957 - 246 = 149753476943293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220122221120957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220122221120951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110061110560478 + 110061110560479.

It is an arithmetic number, because the mean of its divisors is an integer number (110061110560479).

Almost surely, 2220122221120957 is an apocalyptic number.

It is an amenable number.

220122221120957 is a deficient number, since it is larger than the sum of its proper divisors (1).

220122221120957 is an equidigital number, since it uses as much as digits as its factorization.

220122221120957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

Adding to 220122221120957 its reverse (759021122221022), we get a palindrome (979143343341979).

The spelling of 220122221120957 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty thousand, nine hundred fifty-seven".