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122032220220013 is a prime number
BaseRepresentation
bin11011101111110011010111…
…001000110010101001101101
3121000002011111020122122120111
4123233303113020302221231
5111443333441334020023
61111312454505020021
734463352115063555
oct3357632710625155
9530064436578514
10122032220220013
1135979634a391a4
121182a7b3784611
13531278701708c
14221c568b8a165
15e1951112000d
hex6efcd7232a6d

122032220220013 has 2 divisors, whose sum is σ = 122032220220014. Its totient is φ = 122032220220012.

The previous prime is 122032220219983. The next prime is 122032220220047. The reversal of 122032220220013 is 310022022230221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120077807832004 + 1954412388009 = 10958002^2 + 1398003^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122032220220013 is a prime.

It is a super-2 number, since 2×1220322202200132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122032220220073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61016110110006 + 61016110110007.

It is an arithmetic number, because the mean of its divisors is an integer number (61016110110007).

Almost surely, 2122032220220013 is an apocalyptic number.

It is an amenable number.

122032220220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122032220220013 is an equidigital number, since it uses as much as digits as its factorization.

122032220220013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 122032220220013 its reverse (310022022230221), we get a palindrome (432054242450234).

The spelling of 122032220220013 in words is "one hundred twenty-two trillion, thirty-two billion, two hundred twenty million, two hundred twenty thousand, thirteen".