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122300133229 is a prime number
BaseRepresentation
bin111000111100110100…
…1111110111101101101
3102200200022021111010001
41301321221332331231
54000432313230404
6132103420144301
711556465660121
oct1617151767555
9380608244101
10122300133229
114795a26727a
121b852098091
13b6c08a8051
145cc2a0b581
1532abda17a4
hex1c79a7ef6d

122300133229 has 2 divisors, whose sum is σ = 122300133230. Its totient is φ = 122300133228.

The previous prime is 122300133181. The next prime is 122300133257. The reversal of 122300133229 is 922331003221.

It is an a-pointer prime, because the next prime (122300133257) can be obtained adding 122300133229 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92784206025 + 29515927204 = 304605^2 + 171802^2 .

It is a cyclic number.

It is not a de Polignac number, because 122300133229 - 231 = 120152649581 is a prime.

It is a super-2 number, since 2×1223001332292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122300133197 and 122300133206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122300133929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61150066614 + 61150066615.

It is an arithmetic number, because the mean of its divisors is an integer number (61150066615).

Almost surely, 2122300133229 is an apocalyptic number.

It is an amenable number.

122300133229 is a deficient number, since it is larger than the sum of its proper divisors (1).

122300133229 is an equidigital number, since it uses as much as digits as its factorization.

122300133229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 122300133229 in words is "one hundred twenty-two billion, three hundred million, one hundred thirty-three thousand, two hundred twenty-nine".