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122231100037 is a prime number
BaseRepresentation
bin111000111010110001…
…0101001001010000101
3102200111111101020101011
41301311202221022011
54000312130200122
6132052512402221
711555000131144
oct1616542511205
9380444336334
10122231100037
11479242a6652
121b832b46371
13b6ac4b75c7
145cb779b75b
1532a5cb7377
hex1c758a9285

122231100037 has 2 divisors, whose sum is σ = 122231100038. Its totient is φ = 122231100036.

The previous prime is 122231099971. The next prime is 122231100049. The reversal of 122231100037 is 730001132221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77284556001 + 44946544036 = 278001^2 + 212006^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122231100037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122231099990 and 122231100017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122231100337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61115550018 + 61115550019.

It is an arithmetic number, because the mean of its divisors is an integer number (61115550019).

Almost surely, 2122231100037 is an apocalyptic number.

It is an amenable number.

122231100037 is a deficient number, since it is larger than the sum of its proper divisors (1).

122231100037 is an equidigital number, since it uses as much as digits as its factorization.

122231100037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 122231100037 its reverse (730001132221), we get a palindrome (852232232258).

The spelling of 122231100037 in words is "one hundred twenty-two billion, two hundred thirty-one million, one hundred thousand, thirty-seven".