Search a number
-
+
122013210232633 is a prime number
BaseRepresentation
bin11011101111100001101010…
…000011011100011100111001
3121000000100102102000020022211
4123233201222003130130321
5111443031023304421013
61111300032303015121
734462110043623046
oct3357415203343471
9530010372006284
10122013210232633
113597156a331325
1211826b8929a4a1
135310a47790735
14221b6841721cd
15e18c9c26123d
hex6ef86a0dc739

122013210232633 has 2 divisors, whose sum is σ = 122013210232634. Its totient is φ = 122013210232632.

The previous prime is 122013210232579. The next prime is 122013210232643. The reversal of 122013210232633 is 336232012310221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96874648770064 + 25138561462569 = 9842492^2 + 5013837^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122013210232633 is a prime.

It is a super-2 number, since 2×1220132102326332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122013210232595 and 122013210232604.

It is not a weakly prime, because it can be changed into another prime (122013210232643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006605116316 + 61006605116317.

It is an arithmetic number, because the mean of its divisors is an integer number (61006605116317).

Almost surely, 2122013210232633 is an apocalyptic number.

It is an amenable number.

122013210232633 is a deficient number, since it is larger than the sum of its proper divisors (1).

122013210232633 is an equidigital number, since it uses as much as digits as its factorization.

122013210232633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 122013210232633 its reverse (336232012310221), we get a palindrome (458245222542854).

The spelling of 122013210232633 in words is "one hundred twenty-two trillion, thirteen billion, two hundred ten million, two hundred thirty-two thousand, six hundred thirty-three".