Search a number
-
+
122202020202221 is a prime number
BaseRepresentation
bin11011110010010001100000…
…000000010100011011101101
3121000200101202220021110212102
4123302101200000110123231
5112004124214132432341
61111522455535544445
734511542660111511
oct3362214000243355
9530611686243772
10122202020202221
1135a34649671003
12118576a138b125
1353257a76aba2b
142226876038141
15e1db4d10ac9b
hex6f24600146ed

122202020202221 has 2 divisors, whose sum is σ = 122202020202222. Its totient is φ = 122202020202220.

The previous prime is 122202020202217. The next prime is 122202020202259.

122202020202221 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119058540846025 + 3143479356196 = 10911395^2 + 1772986^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 122202020202221 - 22 = 122202020202217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122202020202193 and 122202020202202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122202020202211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61101010101110 + 61101010101111.

It is an arithmetic number, because the mean of its divisors is an integer number (61101010101111).

Almost surely, 2122202020202221 is an apocalyptic number.

It is an amenable number.

122202020202221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122202020202221 is an equidigital number, since it uses as much as digits as its factorization.

122202020202221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 122202020202221 in words is "one hundred twenty-two trillion, two hundred two billion, twenty million, two hundred two thousand, two hundred twenty-one".