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122231300131 is a prime number
BaseRepresentation
bin111000111010110001…
…1011010000000100011
3102200111111202101212001
41301311203122000203
54000312203101011
6132052520544431
711555001623413
oct1616543320043
9380444671761
10122231300131
1147924422a16
121b833022117
13b6ac5576c5
145cb7810643
1532a5d067c1
hex1c758da023

122231300131 has 2 divisors, whose sum is σ = 122231300132. Its totient is φ = 122231300130.

The previous prime is 122231300129. The next prime is 122231300173. The reversal of 122231300131 is 131003132221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122231300131 - 21 = 122231300129 is a prime.

It is a super-2 number, since 2×1222313001312 (a number of 23 digits) contains 22 as substring.

Together with 122231300129, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 122231300099 and 122231300108.

It is not a weakly prime, because it can be changed into another prime (122231000131) 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, 61115650065 + 61115650066.

It is an arithmetic number, because the mean of its divisors is an integer number (61115650066).

Almost surely, 2122231300131 is an apocalyptic number.

122231300131 is a deficient number, since it is larger than the sum of its proper divisors (1).

122231300131 is an equidigital number, since it uses as much as digits as its factorization.

122231300131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 122231300131 its reverse (131003132221), we get a palindrome (253234432352).

The spelling of 122231300131 in words is "one hundred twenty-two billion, two hundred thirty-one million, three hundred thousand, one hundred thirty-one".