Search a number
-
+
122100200081 is a prime number
BaseRepresentation
bin111000110110110111…
…1010011001010010001
3102200011101001211101122
41301231233103022101
54000030122400311
6132031515012025
711551520401466
oct1615557231221
9380141054348
10122100200081
114786741a572
121b7b713a015
13b68b345302
145ca424566d
15329955c0db
hex1c6dbd3291

122100200081 has 2 divisors, whose sum is σ = 122100200082. Its totient is φ = 122100200080.

The previous prime is 122100200071. The next prime is 122100200171. The reversal of 122100200081 is 180002001221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120724977025 + 1375223056 = 347455^2 + 37084^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100200081 - 230 = 121026458257 is a prime.

It is a super-2 number, since 2×1221002000812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122100200011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050100040 + 61050100041.

It is an arithmetic number, because the mean of its divisors is an integer number (61050100041).

Almost surely, 2122100200081 is an apocalyptic number.

It is an amenable number.

122100200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100200081 is an equidigital number, since it uses as much as digits as its factorization.

122100200081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

The spelling of 122100200081 in words is "one hundred twenty-two billion, one hundred million, two hundred thousand, eighty-one".