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123221101361 is a prime number
BaseRepresentation
bin111001011000010001…
…1001100101100110001
3102210001111020111212212
41302300203030230301
54004324100220421
6132335035501505
711621351036321
oct1626043145461
9383044214785
10123221101361
1148292110266
121ba6a5b7895
13b8096336c7
145d6d065281
153312b70e5b
hex1cb08ccb31

123221101361 has 2 divisors, whose sum is σ = 123221101362. Its totient is φ = 123221101360.

The previous prime is 123221101307. The next prime is 123221101429. The reversal of 123221101361 is 163101122321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122006997025 + 1214104336 = 349295^2 + 34844^2 .

It is an emirp because it is prime and its reverse (163101122321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123221101361 is a prime.

It is not a weakly prime, because it can be changed into another prime (123221104361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61610550680 + 61610550681.

It is an arithmetic number, because the mean of its divisors is an integer number (61610550681).

Almost surely, 2123221101361 is an apocalyptic number.

It is an amenable number.

123221101361 is a deficient number, since it is larger than the sum of its proper divisors (1).

123221101361 is an equidigital number, since it uses as much as digits as its factorization.

123221101361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 123221101361 its reverse (163101122321), we get a palindrome (286322223682).

The spelling of 123221101361 in words is "one hundred twenty-three billion, two hundred twenty-one million, one hundred one thousand, three hundred sixty-one".