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122300133331 is a prime number
BaseRepresentation
bin111000111100110100…
…1111110111111010011
3102200200022021111020211
41301321221332333103
54000432313231311
6132103420144551
711556465660325
oct1617151767723
9380608244224
10122300133331
114795a267362
121b852098157
13b6c08a80cc
145cc2a0b615
1532abda1821
hex1c79a7efd3

122300133331 has 2 divisors, whose sum is σ = 122300133332. Its totient is φ = 122300133330.

The previous prime is 122300133257. The next prime is 122300133341. The reversal of 122300133331 is 133331003221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122300133331 - 213 = 122300125139 is a prime.

It is a super-2 number, since 2×1223001333312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122300133341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61150066665 + 61150066666.

It is an arithmetic number, because the mean of its divisors is an integer number (61150066666).

Almost surely, 2122300133331 is an apocalyptic number.

122300133331 is a deficient number, since it is larger than the sum of its proper divisors (1).

122300133331 is an equidigital number, since it uses as much as digits as its factorization.

122300133331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 122300133331 its reverse (133331003221), we get a palindrome (255631136552).

The spelling of 122300133331 in words is "one hundred twenty-two billion, three hundred million, one hundred thirty-three thousand, three hundred thirty-one".