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122222211111113 is a prime number
BaseRepresentation
bin11011110010100100010011…
…011110100001100011001001
3121000202022220001000220212212
4123302210103132201203021
5112004442042021023423
61111540035245114505
734513156221030221
oct3362442336414311
9530668801026785
10122222211111113
1135a4216a933773
121185b597258a35
1353276747a99b9
14222782d817081
15e1e4309d7578
hex6f29137a18c9

122222211111113 has 2 divisors, whose sum is σ = 122222211111114. Its totient is φ = 122222211111112.

The previous prime is 122222211111101. The next prime is 122222211111167. The reversal of 122222211111113 is 311111112222221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117162374760649 + 5059836350464 = 10824157^2 + 2249408^2 .

It is a cyclic number.

It is not a de Polignac number, because 122222211111113 - 246 = 51853466933449 is a prime.

It is not a weakly prime, because it can be changed into another prime (122222211111193) 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, 61111105555556 + 61111105555557.

It is an arithmetic number, because the mean of its divisors is an integer number (61111105555557).

Almost surely, 2122222211111113 is an apocalyptic number.

It is an amenable number.

122222211111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122222211111113 is an equidigital number, since it uses as much as digits as its factorization.

122222211111113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 23.

Adding to 122222211111113 its reverse (311111112222221), we get a palindrome (433333323333334).

The spelling of 122222211111113 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred eleven million, one hundred eleven thousand, one hundred thirteen".