Search a number
-
+
122020100117 is a prime number
BaseRepresentation
bin111000110100011110…
…1101111100000010101
3102122221210100022220022
41301220331233200111
53444344121200432
6132015534114525
711546525511056
oct1615075574025
9378853308808
10122020100117
1147826190253
121b79434ba45
13b67787b596
145c9775472d
1532924d8b12
hex1c68f6f815

122020100117 has 2 divisors, whose sum is σ = 122020100118. Its totient is φ = 122020100116.

The previous prime is 122020100057. The next prime is 122020100131. The reversal of 122020100117 is 711001020221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116751372721 + 5268727396 = 341689^2 + 72586^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122020100117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122020100095 and 122020100104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122020100177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61010050058 + 61010050059.

It is an arithmetic number, because the mean of its divisors is an integer number (61010050059).

Almost surely, 2122020100117 is an apocalyptic number.

It is an amenable number.

122020100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122020100117 is an equidigital number, since it uses as much as digits as its factorization.

122020100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 122020100117 its reverse (711001020221), we get a palindrome (833021120338).

The spelling of 122020100117 in words is "one hundred twenty-two billion, twenty million, one hundred thousand, one hundred seventeen".